Chapterwise/Topicwise Daily Practice Problems (DPP) Algebra JEE Main & Advanced>Chapter 6 - Permutation and Combination>DPP>Q 7

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IMPORTANT

Earn 100

Number of four-digit positive integers, if the product of their digits is divisible by $3$ are

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Important Questions on Permutation and Combination

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IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Algebra JEE Main & Advanced>Chapter 6 - Permutation and Combination>DPP>Q 8

The number of five-digit numbers which are divisible by

3

that can be formed by using the digits

1, 2, 3, 4, 5, 6, 7, 8

and

9

when repetition of the digits is allowed is

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Chapterwise/Topicwise Daily Practice Problems (DPP) Algebra JEE Main & Advanced>Chapter 6 - Permutation and Combination>DPP>Q 9

If

N

is the number of positive integral solutions of

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

, then

N =

?

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Chapterwise/Topicwise Daily Practice Problems (DPP) Algebra JEE Main & Advanced>Chapter 6 - Permutation and Combination>DPP>Q 10

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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Chapterwise/Topicwise Daily Practice Problems (DPP) Algebra JEE Main & Advanced>Chapter 6 - Permutation and Combination>DPP>Q 11

The number of ordered pairs of positive integers

(m, n)

satisfying

m \leq 2 n \leq 60

or

n \leq 2 m \leq 60

is

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Chapterwise/Topicwise Daily Practice Problems (DPP) Algebra JEE Main & Advanced>Chapter 6 - Permutation and Combination>DPP>Q 12

Number of ways in which

6

distinct objects can be kept into two identical boxes so that the no box remains empty is

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Chapterwise/Topicwise Daily Practice Problems (DPP) Algebra JEE Main & Advanced>Chapter 6 - Permutation and Combination>DPP>Q 13

The number of four-digit numbers that can be formed by using the digits

1, 2, 3, 4, 5, 6, 7, 8

and

9

such that the least digit used is

4

, when the repetition of digits is allowed, is

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Chapterwise/Topicwise Daily Practice Problems (DPP) Algebra JEE Main & Advanced>Chapter 6 - Permutation and Combination>DPP>Q 14

A fair coin is tossed

n

times. Let

a_{n}

denotes the number of cases for which no two heads occur consecutively. Then, which of the following is not true?

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Chapterwise/Topicwise Daily Practice Problems (DPP) Algebra JEE Main & Advanced>Chapter 6 - Permutation and Combination>DPP>Q 1

Five boys and three girls are sitting in a row of

8

seats. Number of ways in which they can be seated so that not all the girls sit side by side, is