Beta Question Bank for Engineering: Mathematics>Chapter 9 - Permutation and Combination>EXERCISE-2>Q 4

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IMPORTANT

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The number of ways in which a mixed double tennis game can be arranged from amongst $9$ married couple if no husband and wife plays in the same game is

50% studentsanswered this correctly

Important Questions on Permutation and Combination

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Beta Question Bank for Engineering: Mathematics>Chapter 9 - Permutation and Combination>EXERCISE-2>Q 5

There are

n

identical red balls and

m

identical green balls. The number of different linear arrangements consisting of

n

red balls but not necessarily all the green balls is

{}^{x}C_{y}

, then:

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Beta Question Bank for Engineering: Mathematics>Chapter 9 - Permutation and Combination>EXERCISE-2>Q 6

Number of different words that can be formed using all the letters of the word "

DEEPMALA

" if two vowels are together and the other two are also together but separated from the first two is -

HARD

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Beta Question Bank for Engineering: Mathematics>Chapter 9 - Permutation and Combination>EXERCISE-2>Q 7

In a unique hockey series between India and Pakistan, they decide to play till a team wins

5

matches - The number of ways in which the series can be won by India, if no match ends in a draw is

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Beta Question Bank for Engineering: Mathematics>Chapter 9 - Permutation and Combination>EXERCISE-2>Q 8

A road network as shown in the figure connect four cities. In how many ways can you start from any city (say A) and come back to it without travelling on the same road more than once ?

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

The number of ways of choosing a committee of

2

women &

3

men from

5

women &

6

men, if Mr.

A

refuses to serve on the committee if Mr.

B

is a member & Mr.

B

can only serve, if Miss

C

is the member of the committee, is -

HARD

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Beta Question Bank for Engineering: Mathematics>Chapter 9 - Permutation and Combination>EXERCISE-2>Q 10

Six persons and

A, B, C, D, E & F

are to be seated at a circular table . The number of ways this can be done if

A

must have either

B

or

C

on his right and

B

must have either

C

or

D

on his right is

HARD

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Beta Question Bank for Engineering: Mathematics>Chapter 9 - Permutation and Combination>EXERCISE-2>Q 11

Sum of all the numbers that can be formed using all the digits

2, 3, 3, 4, 4, 4

is

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Beta Question Bank for Engineering: Mathematics>Chapter 9 - Permutation and Combination>EXERCISE-2>Q 12

N = 2^{2} \cdot 3^{3} \cdot 5^{4} \cdot 7

, then