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IMPORTANT

Earn 100

Let $x$ denote the total number of one-one functions from a set $A$ with $3$ elements to a set $B$ with $5$ elements and $y$ denote the total number of one-one functions from the set $A$ to the set $A \times B$ . Then :

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Important Questions on Permutation and Combination

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Mathematics Crash Course JEE Main>Chapter 21 - Permutation and Combination>Level 1>Q 37

If all the letters of the word

QUEUE

are arranged in all possible manner as they are in a dictionary, then the rank of the word

QUEUE

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Mathematics Crash Course JEE Main>Chapter 21 - Permutation and Combination>Level 2>Q 1

116

people participated in a knockout tennis tournament The players are paired up in the first round, the winners of the first round are paired up in the second round, and so on till the final is played between the two players. If after any round, there is odd number of players, one player is given a bye, i.e. he skips that round and plays the next round with the winners. The total number of matches played in the tournament is

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Mathematics Crash Course JEE Main>Chapter 21 - Permutation and Combination>Level 2>Q 2

I have tiled my square bathroom wall with congruent square tiles. All the tiles are red, except those along the two diagonals, which are all blue. If I used

121

blue tiles. Then the number of red tiles I used are

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Mathematics Crash Course JEE Main>Chapter 21 - Permutation and Combination>Level 2>Q 3

How many six-digit numbers are there in which no digit is being repeated, even digits appear at even places, odd digits appear at odd places and the number is divisible by

4

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Mathematics Crash Course JEE Main>Chapter 21 - Permutation and Combination>Level 2>Q 4

N

is the number of positive integral solutions of

x_{1} x_{2} x_{3} x_{4} = 770

, then

N =

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Mathematics Crash Course JEE Main>Chapter 21 - Permutation and Combination>Level 2>Q 5

How many line segments have both their endpoints located at the vertices of a given cube?

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Mathematics Crash Course JEE Main>Chapter 21 - Permutation and Combination>Level 2>Q 6

Three and four digit numbers are formed from the digits

1, 3, 5, 6, 8 .

e_{1}

is number of three digit even numbers with no digit repeated and

e_{2}

is number of four digit even numbers with no digit repeated. Also

O_{1}

represent the number of three digit odd numbers in which no digit is repeated and

O_{2}

represent the number of four digit odd numbers in which no digit is repeated. Then

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IMPORTANT

Mathematics Crash Course JEE Main>Chapter 21 - Permutation and Combination>Level 2>Q 7

The sum of all numbers greater than

1000

formed by using the digits

1, 3, 5, 7

such that no digit is being repeated in any number is -

Let x denote the total number of one-one functions from a set A with 3 elements to a set B with 5 elements and y denote the total number of one-one functions from the set A to the set A×B. Then :

Important Questions on Permutation and Combination

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Let $x$ denote the total number of one-one functions from a set $A$ with $3$ elements to a set $B$ with $5$ elements and $y$ denote the total number of one-one functions from the set $A$ to the set $A \times B$ . Then :