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Assignment Details

Multiplication Principle, Permutations and Combinations

Duration

4504 minutes

Deadline

Jan 19, 1:56 PM

Maximum marks

41.0 marks

Question type

MCQ

Total questions

24 questions

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Attempt

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Abhishek mishra

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Multiplication Principle, Permutations and Combinations

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Daljeet Singh

Jan 17, 2022

Test

Multiplication Principle, Permutations and Combinations

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Marycatherine Delben

Jan 31, 2022

Test

Multiplication Principle, Permutations and Combinations

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Jan 11, 2022

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Permutations and Combinations

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Multiplication Principle, Permutations and Combinations

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Dec 03, 2021

Test

Multiplication Principle, Permutations and Combinations

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Jan 08, 2022

Test

Multiplication Principle, Permutations and Combinations

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Shubham Tripathi

Feb 04, 2022

Test

Multiplication Principle & Permutations

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Surya Prakash Singh Chauhaan

Jan 22, 2022

Test

Relations and Functions,Multiplication Principle, Permutations and Combinations

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Rahul Kumar Dubey

Feb 05, 2022

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Multiplication Principle, Permutations and Combinations

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Jan 23, 2022

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Multiplication Principle, Permutations and Combinations

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Jan 23, 2022

Test

Multiplication Principle, Permutations and Combinations

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Feb 08, 2022

Test

Multiplication Principle, Permutations and Combinations

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ROYAL ACADEMY OF ENGINEERING & SCIENCE

Feb 10, 2022

Test

Multiplication Principle, Permutations and Combinations, Limits and 1 other Topics

class-11th

Maths

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Er.Karunakar

Feb 15, 2022

Test

Sets, Multiplication Principle, Permutations and Combinations and 3 other Topics

class-11th

Maths

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Mr X

Jan 31, 2022

Test

Permutations and Combinations

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Ananya Yadav

Dec 10, 2021

Test

Permutations and Combinations

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Satish Tiwari

Dec 27, 2021

Test

Permutations and Combinations

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Monika sahu

Jan 22, 2022

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Permutations and Combinations

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Rajveer

Jan 22, 2022

Test

Permutations and Combinations

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J.N N.N

Jan 25, 2022

Question Text

Question 1 :

In how many ways can a group of $5$ men and $2$ women be made out of a total of $7$ men and $3$ women

In how many ways can a group of $5$ men and $2$ women be made out of a total of $7$ men and $3$ women

Question 2 :

Using the digits $0, 2, 4, 6, 8$ not more than once in any number, the number of $5$ digited numbers that can be formed is<br/>

Using the digits $0, 2, 4, 6, 8$ not more than once in any number, the number of $5$ digited numbers that can be formed is<br/>

Question 3 :

10 different letters of a alphabet are given. Words with 5 Letters are formed from these given letters, then the numbers of words which have at least one letter repeated is

10 different letters of a alphabet are given. Words with 5 Letters are formed from these given letters, then the numbers of words which have at least one letter repeated is

Question 4 :

If $^nP_r = 30240$ and $^nC_r = 252, $ then the ordered pair $(n,r) $ is equal to :

If $^nP_r = 30240$ and $^nC_r = 252, $ then the ordered pair $(n,r) $ is equal to :

Question 5 :

There are $5$ doors to a lecture hall. The number of ways that a student can enter the hall and leave it by a different door is

There are $5$ doors to a lecture hall. The number of ways that a student can enter the hall and leave it by a different door is

Question 6 :

There are $5\ mangoes$ and $4\ apples$. In how many different ways can a selection of fruits be made if fruits of same kind are different?(if minimum $1$ fruit is selected)

There are $5\ mangoes$ and $4\ apples$. In how many different ways can a selection of fruits be made if fruits of same kind are different?(if minimum $1$ fruit is selected)

Question 8 :

Let the coefficient of $5^{th}$ term from the end of an expansion be $a$ and $b$ be the power.<br/>Expansion:$\left (\dfrac{x^3}{2}- \dfrac 2{x^2}\right)^{9}$<br/>Find $a \times b$.

Let the coefficient of $5^{th}$ term from the end of an expansion be $a$ and $b$ be the power.<br/>Expansion:$\left (\dfrac{x^3}{2}- \dfrac 2{x^2}\right)^{9}$<br/>Find $a \times b$.

Question 9 :

The number of permutations by taking all letters and keeping the vowels of the word COMBINE in the odd places is

The number of permutations by taking all letters and keeping the vowels of the word COMBINE in the odd places is

Question 10 :

The number of ways in which a TRUE or FALSE examination of $n$ statements can be answered on the asumption that no two consecutive questions are answered in the same way is

The number of ways in which a TRUE or FALSE examination of $n$ statements can be answered on the asumption that no two consecutive questions are answered in the same way is

Question 11 :

How many combinations of two-digit numbers having 8 can be made from the following numbers?<br>8, 5, 2, 1, 7, 6

How many combinations of two-digit numbers having 8 can be made from the following numbers?<br>8, 5, 2, 1, 7, 6

Question 12 :

In how many ways can 5 persons A,B,C,D and E sit around a circular table.

In how many ways can 5 persons A,B,C,D and E sit around a circular table.

Question 13 :

Number of permutations that can be formed with the letters of the word "TRIANGLE" is

Number of permutations that can be formed with the letters of the word "TRIANGLE" is

Question 14 :

The number of unsuccessful attempts that can be made by a thief to open a number lock having $3$ rings in which each rings contains $6$ numbers is

The number of unsuccessful attempts that can be made by a thief to open a number lock having $3$ rings in which each rings contains $6$ numbers is

Question 15 :

The given table shows the possible food choices for lunch. How many different types of lunch can be made each including $1$ type of soup, $1$ type of sandwich and $1$ type of salad?<table class="wysiwyg-table"><tbody><tr><td colspan="3"> Lunch Choices</td></tr><tr><td>Soup</td><td>Sandwich</td><td>Salad</td></tr><tr><td>Chicken</td><td>Cheese</td><td>Vegetable</td></tr><tr><td>Tomato</td><td>Paneer</td><td>Fruit</td></tr></tbody></table>

The given table shows the possible food choices for lunch. How many different types of lunch can be made each including $1$ type of soup, $1$ type of sandwich and $1$ type of salad?<table class="wysiwyg-table"><tbody><tr><td colspan="3"> Lunch Choices</td></tr><tr><td>Soup</td><td>Sandwich</td><td>Salad</td></tr><tr><td>Chicken</td><td>Cheese</td><td>Vegetable</td></tr><tr><td>Tomato</td><td>Paneer</td><td>Fruit</td></tr></tbody></table>

Question 16 :

The number of ways in which 7 persons can be arranged around a circle is:

The number of ways in which 7 persons can be arranged around a circle is:

Question 17 :

The number of different $7$ digit numbers that can be written using only the three digits $1,2$ and $3$ with the condition that the digit $2$ occurs twice in each number is

The number of different $7$ digit numbers that can be written using only the three digits $1,2$ and $3$ with the condition that the digit $2$ occurs twice in each number is

Question 18 :

The number of ways in which a couple can sit around a table with 6 guests if the couple take consecutive seats is

The number of ways in which a couple can sit around a table with 6 guests if the couple take consecutive seats is

Question 19 :

Find the number of ways in which $12$ different beads can be arranged to form a necklace.

Find the number of ways in which $12$ different beads can be arranged to form a necklace.

Question 20 :

In how many ways $n$ books can be arranged in a row so that two specified books are not together

In how many ways $n$ books can be arranged in a row so that two specified books are not together

Question 21 :

If $\displaystyle ^{7}C_{r} + 3 ^{7}C_{r+1} + 3 ^{7}C_{r+2} + ^{7}C_{r+3} > ^{10}C_{4}$, then the quadratic equation whose roots are $\displaystyle \alpha, \: \beta$ and $\displaystyle \alpha^{r-1}, \: \beta^{r-1}$ have

If $\displaystyle ^{7}C_{r} + 3 ^{7}C_{r+1} + 3 ^{7}C_{r+2} + ^{7}C_{r+3} > ^{10}C_{4}$, then the quadratic equation whose roots are $\displaystyle \alpha, \: \beta$ and $\displaystyle \alpha^{r-1}, \: \beta^{r-1}$ have

Question 22 :

Ten persons, amongst whom are $A,B$ and $C$ are to speak at a function. The number of ways in which it can be done if $A$ wants to speak before $B$, and $B$ wants to speak before $C$ is

Ten persons, amongst whom are $A,B$ and $C$ are to speak at a function. The number of ways in which it can be done if $A$ wants to speak before $B$, and $B$ wants to speak before $C$ is

Question 23 :

A florist has in stock several dozens of each of the following roses, carnations, and lilies. How many different bouquets of half dozens flowers can be made. (arrangement is not important)?

A florist has in stock several dozens of each of the following roses, carnations, and lilies. How many different bouquets of half dozens flowers can be made. (arrangement is not important)?

Question 24 :

There are $10$ distinct chairs around a circular table. The number of ways in which three persons can sit, so that no two consecutive chairs are occupied, is :

There are $10$ distinct chairs around a circular table. The number of ways in which three persons can sit, so that no two consecutive chairs are occupied, is :

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