Beta Question Bank for Engineering: Mathematics>Chapter 9 - Permutation and Combination>EXERCISE-2>Q 18

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IMPORTANT

Earn 100

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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IMPORTANT

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-2>Q 20

There are

(p + q)

different books on different topics in Mathematics.

(p \neq q)

If $L =$ the number of ways in which these books are distributed between two students $X$ and $Y$ such that $X$ get $p$ books and $Y$ gets $q$ books.

$M =$ The number of ways in which these books are distributed between two students $X$ and $Y$ such that one of them gets $p$ books and another gets $q$ books.

$N =$ The number of ways in which these books are divided into two groups of $p$ books and $q$ books then -

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

Number of dissimilar terms in the expansion of

{(x_{1} + x_{2} + \dots \dots + x_{n})}^{3}

is -

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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