Category: Permutations and Combinations

A mixed doubles tennis game is to be played two teams(each consists of one male and one female) There are four married couples. No team is to consist a husband and his wife. What is the maximum number of games that can be played?

Hamad Permutations and Combinations 18/09/2021

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A. 12
B. 48
C. 36
D. 42
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A group consists of 4 men, 6 women and 5 children. In how many ways can 2 men , 3 women and 1 child selected from the given group?

Hamad Permutations and Combinations 27/08/2021

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A. 300
B. 600
C. 750
D. 900
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2 men and 1 woman board a bus of which 5 seats are vacant, one of these 5 seats is reserved for ladies. A woman may or may not sit on the seat reserved for ladies, In how many different ways can the five seats be occupied by these passengers?

Hamad Permutations and Combinations 24/08/2021

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A. 15
B. 36
C. 48
D. 60
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In how many ways can three consonants and two vowels be selected from the letters of the word “TRIANGLE”?

Hamad Permutations and Combinations 13/08/2021

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A. 25
B. 13
C. 40
D. 30
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A selection is to be made for one post of principal and two posts of vice-principal amongst the six candidates called for the interview only two are eligible for the post of principal while they all are eligible for the post of vice-principal. The number of possible combinations of selectees is___________?

Hamad Permutations and Combinations 12/08/2021

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A. 4
B. 12
C. 18
D. None of these
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The number of ways in which six boys and six girls can be seated in a row for a photograph so that no two girls sit together is_________?

Hamad Permutations and Combinations 11/08/2021

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A. (6!)²
B. 6! * ⁷P₆
C. 2(6!)
D. 6! * 7
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A committee has 5 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee?

Hamad Permutations and Combinations 03/08/2021

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A. 150
B. 200
C. 250
D. 300
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In how many different ways can six players be arranged in a line such that two of them, Asim and Raheem are never together?

Hamad Permutations and Combinations 01/08/2021

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A. 120
B. 240
C. 360
D. 480
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Three flags each of different colours are available for a military exercise, Using these flags different codes can be generated by waving
I. Single flag of different colours
II. Any two flags in a different sequence of colours.
III. three flags in a different sequence of colours.
The maximum number of codes that can be generated is.

Hamad Permutations and Combinations 11/07/2021

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A. 6
B. 9
C. 15
D. 18
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The number of new words that can be formed by rearranging the letters of the word ‘ALIVE’ is__________?

Hamad Permutations and Combinations 25/06/2021

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A. 24
B. 23
C. 119
D. 120
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