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JEE Main

IMPORTANT

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A number is called a palindrome if it reads the same backward as well as forward. For example $285582$ is a six digit palindrome. The number of six digit palindromes, which are divisible by $55,$ 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 - 27 August 2021 Shift 2>Q 5

Let

S = {1, 2, 3, 4, 5, 6, 9}

. Then the number of elements in the set

T = {A \subseteq S : A \neq ϕ

and the sum of all the elements of

A

is not a multiple of

3}

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 31 August 2021 Shift 1>Q 6

The number of six letter words (with or without meaning), formed using all the letters of the word 'VOWELS', so that all the consonants never come together, is

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 1 September 2021 Shift 2>Q 7

Let

P_{1}, P_{2} \dots, P_{15}

15

points on a circle. The number of distinct triangles formed by points

P_{i}, P_{j}, P_{k}

such that

i + j + k \neq 15,

is :

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JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 1 September 2021 Shift 2>Q 8

All the arrangements, with or without meaning, of the word

FARMER

are written excluding any word that has two

R

appearing together. The arrangements are listed serially in the alphabetic order as in the English dictionary. Then the serial number of the word

FARMER

in this list is _____ .

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JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 20 July 2021 Shift 1>Q 9

There are

15

players in a cricket team, out of which

6

are bowlers,

7

are batsmen and

2

are wicketkeepers. The number of ways, a team of

11

players be selected from them so as to include at least

4

bowlers,

5

batsmen and

1

wicketkeeper, is

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JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 22 July 2021 Shift 1>Q 10

Let

A = {0, 1, 2, 3, 4, 5, 6, 7} .

Then the number of bijective functions

f : A \to A

such that

f (1) + f (2) = 3 - f (3)

is equal to

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 22 July 2021 Shift 1>Q 11

If the digits are not allowed to repeat in any number formed by using the digits

0, 2, 4, 6, 8,

then the number of all numbers greater than

10, 000

is equal to __________.

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JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 22 July 2021 Shift 1>Q 12

Let

A = [\begin{array}{l} 0 & 1 & 0 \\ 1 & 0 & 0 \\ 0 & 0 & 1 \end{array}] .

Then the number of

3 \times 3

matrices

B

with entries from the set

{1, 2, 3, 4, 5}

and satisfying

A B = B A

is ________.

A number is called a palindrome if it reads the same backward as well as forward. For example 285582 is a six digit palindrome. The number of six digit palindromes, which are divisible by 55, is ________.

Important Questions on Permutation and Combination

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A number is called a palindrome if it reads the same backward as well as forward. For example $285582$ is a six digit palindrome. The number of six digit palindromes, which are divisible by $55,$ is ________.