HARD

JEE Main

IMPORTANT

Earn 100

Let $T_{n}$ be the number of all possible triangles formed by joining vertices of an $n$ -sided regular polygon. If $T_{n + 1} - T_{n} = 10$ , then the value of $n$ is :

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Important Questions on Permutation and Combination

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 24 June 2022 Shift 1>Q 80

The number of one-one functions

f : \{a, b, c, d\} \to \{0, 1, 2, \dots, 10\}

such that

2 f (a) - f (b) + 3 f (c) + f (d) = 0

is _____

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 24 June 2022 Shift 1>Q 81

In an examination, there are

5

multiple choice questions with

3

choices, out of which exactly one is correct. There are

3

marks for each correct answer,

- 2

marks for each wrong answer and

0

mark if the question is not attempted. Then, the number of ways a student appearing in the examination gets

5

marks is _____

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 24 June 2022 Shift 2>Q 82

The number of

7

-digit numbers which are multiples of

11

and are formed using all the digits

1, 2, 3, 4, 5, 7

and

9

is _____.

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 25 June 2022 Shift 1>Q 83

The number of

3

-digit odd numbers, whose sum of digits is a multiple of

7

, is _____.

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 25 June 2022 Shift 1>Q 84

Let

A

be a

3 \times 3

matrix having entries from the set

\{- 1, 0, 1\}

. The number of all such matrices

A

having sum of all the entries equal to

5

, is _____

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 25 June 2022 Shift 2>Q 85

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

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 _____.

Let Tn be the number of all possible triangles formed by joining vertices of an n-sided regular polygon. If Tn+1-Tn=10, then the value of n is :

Important Questions on Permutation and Combination

Learn and Prepare for any exam you want !

Let $T_{n}$ be the number of all possible triangles formed by joining vertices of an $n$ -sided regular polygon. If $T_{n + 1} - T_{n} = 10$ , then the value of $n$ is :