EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 31 January 2023 Shift 1>Q 126

HARD

JEE Main

IMPORTANT

Earn 100

Number of $4$ -digit numbers that are less than or equal to $2800$ and either divisible by $3$ or by $11$ , is equal to _____ .

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Important Questions on Permutation and Combination

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 31 January 2023 Shift 2>Q 127

If

{}^{2 n + 1}P_{n - 1} : {}^{2 n - 1}P_{n} = 11 : 21

, then

n^{2} + n + 15

is equal to :

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 1 February 2023 Shift 1>Q 128

The number of

3

-digit numbers, that are divisible by either

2

or

3

but not divisible by

7

is _____ .

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 1 February 2023 Shift 1>Q 129

The number of words, with or without meaning, that can be formed using all the letters of the word ASSASSINATION so that the vowels occur together, is _____ .

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 1 February 2023 Shift 2>Q 130

The total number of six digit numbers, formed using the digits

4, 5, 9

only and divisible by

6

, is _____ .

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 1 February 2023 Shift 2>Q 131

Number of integral solutions to the equation

x + y + z = 21

, where

x \geq 1, y \geq 3, z \geq 4

, is equal to _____ .