Beta Question Bank for Engineering: Mathematics>Chapter 9 - Permutation and Combination>EXERCISE-2>Q 21

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IMPORTANT

Earn 100

Number of dissimilar terms in the expansion of ${(x_{1} + x_{2} + \dots \dots + x_{n})}^{3}$ is -

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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 22

A persons wants to invite one or more of his friend for a dinner party. In how many ways can he do so if he has eight friends :-

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Beta Question Bank for Engineering: Mathematics>Chapter 9 - Permutation and Combination>EXERCISE-2>Q 23

If

P (n, n)

denotes the number of permutations of

n

different things taken all at a time then

P (n, n)

is also identical to :-

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Beta Question Bank for Engineering: Mathematics>Chapter 9 - Permutation and Combination>EXERCISE-2>Q 24

Which of the following statement(s) is/are true :-

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

If

{}^{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

is

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Beta Question Bank for Engineering: Mathematics>Chapter 9 - Permutation and Combination>EXERCISE-3>Q 18

A team of

6

horses be selected out of a stud of

16

, so that there shall always be

3

out of

A B C

A^{'} B^{'} C^{'}

, but never

A A^{'}, B B^{'}

or

C C^{'}

together. If number of selection is

N

, then value of

(\frac{N}{10})

is

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Beta Question Bank for Engineering: Mathematics>Chapter 9 - Permutation and Combination>EXERCISE-3>Q 19

Let

4

digit numbers are there which contain not more than

2

different digits. If total numbers are

N

, then

N

is

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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 21

A man has

7

relatives,

4

of them are ladies &

3

gentlemen; his wife has also

7

relatives,

3

of them are ladies &

4

gentlemen. They invite a dinner party of

3

ladies &

3

gentlemen so that there are

3

of the man's relative &

3

of the wife's relatives. If number of ways are

N

, then value of

N

is