Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 6 - Permutation and Combination>Entrances Gallery>Q 32

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JEE Advanced

IMPORTANT

Earn 100

If $n$ is an integer with $0 \leq n \leq 11$ , then the minimum value of $n! (11 - n)!$ is attained, when a value of $n$ is

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Important Questions on Permutation and Combination

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 6 - Permutation and Combination>Entrances Gallery>Q 33

Find

{}^{n}C_{21},

if

{}^{n}C_{10} = {}^{n}C_{11}

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 6 - Permutation and Combination>Entrances Gallery>Q 34

Determine

n

, if

{}^{2 n}C_{2} : {}^{n}C_{2} = 9 : 2

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 6 - Permutation and Combination>Entrances Gallery>Q 35

Out of thirty points in a plane, eight of them are collinear. The number of straight lines that can be formed by joining these points is

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 6 - Permutation and Combination>Entrances Gallery>Q 36

The number of positive integers which can be formed by using any number of digits from

0, 1, 2, 3, 4, 5

but using each digit not more than once in each number is

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 6 - Permutation and Combination>Entrances Gallery>Q 37

The total number of ways in which five

' +'

and three

' -'

signs can be arranged in a line, such that no two

' -'

sign occur together is

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IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 6 - Permutation and Combination>Entrances Gallery>Q 38

A student is to answer

10

out of

13

questions in an examination, such that he must choose at least

4

from the first five questions. The number of choices available to him is:

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 6 - Permutation and Combination>Entrances Gallery>Q 39

A box contains

2

white balls,

3

black balls and

4

red balls. In how many ways can

3

balls be drawn from the box, if at least one black ball is to be included in the draw?

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 6 - Permutation and Combination>Entrances Gallery>Q 40

Four speakers will address a meeting, where speaker

Q

will always speak after speaker

P .

Then, the number of ways in which the order of speakers can be prepared is