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The number of five digit numbers that can be formed using all the digits $0, 1, 3, 6, 8$ which are -

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Important Questions on Permutation and Combination

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Beta Question Bank for Engineering: Mathematics>Chapter 9 - Permutation and Combination>EXERCISE-2>Q 19

All the

7

digit numbers containing each of the digits

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

exactly once and not divisible by

5

are arranged in the increasing order. Then -

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Beta Question Bank for Engineering: Mathematics>Chapter 9 - Permutation and Combination>EXERCISE-3>Q 3

{}^{n + 1}C_{2} + 2 ({}^{2}C_{2} + {}^{3}C_{2} + {}^{4}C_{2} + . . . + {}^{n}C_{2}) = 1^{2} + 2^{2} + 3^{2} + . . . . . + 100^{2},

then the value of

n

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Beta Question Bank for Engineering: Mathematics>Chapter 9 - Permutation and Combination>EXERCISE-3>Q 20

An examination paper consists of

12

questions divided into parts

A

B

. Part-

A

contains

7

question & Part-

B

contains

5

questions. If a candidate is required to attempt

8

questions selecting atleast

3

from each part, then number of maximum ways can the candidate select the questions are

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Beta Question Bank for Engineering: Mathematics>Chapter 9 - Permutation and Combination>EXERCISE-3>Q 22

Let

5

boys &

4

girls sit in a straight line. If the number of ways in which they can be seated if

2

girls are together & the other

2

are also together but separated from the first

2

are

N

, then sum of digits of

N

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Beta Question Bank for Engineering: Mathematics>Chapter 9 - Permutation and Combination>EXERCISE-3>Q 23

Let $8$ persons can be seated on a round table, then the number of ways

(a) are $M$ , if two of them (say $A$ and $B$ ) must not sit in adjacent seats.

(b) are $N$ , if $4$ of the persons are men and $4$ ladies and if no two men are to be in adjacent seats.

(c) are $P$ , if $8$ persons constitute $4$ married couples and if no husband and wife, as well as no two men are to be in adjacent seats.

Find the value of $(\frac{M - N}{10 P})$ .

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Beta Question Bank for Engineering: Mathematics>Chapter 9 - Permutation and Combination>EXERCISE-3>Q 25

Let

15

identical candy bars be distributed between Ram, Shyam, Ghanshyam and Balram, if Ram can not have more than

5

candy bars and Shyam must have at least two are

N

, then sum of digits of

N

is (Assume all candy bars to be alike)

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Beta Question Bank for Engineering: Mathematics>Chapter 9 - Permutation and Combination>EXERCISE-3>Q 26

If the sum of all numbers greater than

10000

formed by using the digits

0, 1, 2, 4, 5

& no digit being repeated in any number, is

N

, then sum of digits of

N

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Beta Question Bank for Engineering: Mathematics>Chapter 9 - Permutation and Combination>EXERCISE-3>Q 27

Let the number of ways in which the letters of the word? 'MUNMUN' can be arranged so that no two alike letters are together are

N

, then value of

N

The number of five digit numbers that can be formed using all the digits 0, 1, 3, 6, 8 which are -

Important Questions on Permutation and Combination

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The number of five digit numbers that can be formed using all the digits $0, 1, 3, 6, 8$ which are -