EASY

JEE Main

IMPORTANT

Earn 100

The total number of three-digit numbers, with one digit repeated exactly two times, is ______.

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Important Questions on Permutation and Combination

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 26 June 2022 Shift 2>Q 86

{}^{40}C_{0} + {}^{41}C_{1} + {}^{42}C_{2} + \dots + {}^{60}C_{20} = \frac{m}{n} \times {}^{60}C_{20}

where

m

n

are co-prime, then

m + n

is equal to

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 26 June 2022 Shift 1>Q 87

There are ten boys

B_{1}, B_{2}, \dots ., B_{10}

and five girls

G_{1}, G_{2}, \dots . G_{5}

in a class. Then the number of ways of forming a group consisting of three boys and three girls, if both

B_{1}

and

B_{2}

together should not be the members of a group, is _____.

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 27 June 2022 Shift 1>Q 88

The number of ways,

16

identical cubes, of which

11

are blue and rest are red, can be placed in a row so that between any two red cubes there should be at least

2

blue cubes, is ______.

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 27 June 2022 Shift 2>Q 89

Let

A

be a matrix of order

2 \times 2

, whose entries are from the set

\{0, 1, 2, 3, 4, 5\}

. If the sum of all the entries of

A

is a prime number

p, 2 < p < 8

, then the number of such matrices

A

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 28 June 2022 Shift 1>Q 90

The total number of

5

-digit numbers, formed by using the digits

1, 2, 3, 5, 6, 7

without repetition, which are multiple of

6

, is

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 28 June 2022 Shift 2>Q 91

The number of ways to distribute

30

identical candies among four children

C_{1}, C_{2}, C_{3}

and

C_{4}

so that

C_{2}

receives atleast

4

and atmost

7

candies,

C_{3}

receives atleast

2

and atmost

6

candies, is equal to

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 29 June 2022 Shift 1>Q 92

Let $b_{1} b_{2} b_{3} b_{4}$ be a $4$ -element permutation with $b_{i} \in$ $\{1, 2, 3, \dots \dots \dots, 100\}$ for $1 \leq i \leq 4$ and $b_{i} \neq b_{j}$ for $i \neq j$ , such that either $b_{1}, b_{2}, b_{3}$ are consecutive integers or $b_{2}, b_{3}, b_{4}$ are consecutive integers. Then the number of such permutations $b_{1} b_{2} b_{3} b_{4}$ is equal to ______.

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 29 June 2022 Shift 2>Q 93

The total number of four digit numbers such that each of the first three digits is divisible by the last digit, is equal to ______.

The total number of three-digit numbers, with one digit repeated exactly two times, is ______.

Important Questions on Permutation and Combination

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