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Permutation and Combination

19 Articles

There are 25 students in a class. Find the number of ways in which a committee of 3 students is to be formed ?

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Answer : D . 3200

If 56Pr+ 6 : 54Pr + 3 = 30800 : 1 then the value of r is ?

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Answer : B. 41

How many can straight lines be drawn from 15 non-collinear points ?

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Answer : A. 105

In a meeting between two countries, each country has 12 delegates. All the delegates of one country shake hands with all delegates of the other country. Find the number of handshakes possible ?

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Answer : B . 144

In how many ways, the letters of the word ‘BANKING’ can be arranged ?

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Answer : D. 2520

In how many different ways, can the letters of the word ‘INHALE’ be arranged ?

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Answer : A. 720

Find the value of 5P2 ?

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Answer : C . 20

8 men entered a lounge simultaneously. If each person shakes hand with the other, then find the total no. of handshakes ?

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Answer : C. 28

How many groups of 6 persons can be formed from 8 men and 7 women ?

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Answer : B . 5005

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 ?

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Answer : C. 64

In how many different ways the letters of the word ‘MATHEMATICS’ can be arranged so that the vowels always come together ?

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Answer : C. 120960

A box contains 4 red, 3 white and 2 blue balls. Three balls are drawn at random. Find out the number of ways of selecting the balls of different colours ?

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Answer : B. 24

How many words can be formed from the letters of the word “AFTER”, so that the vowels never come together ?

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Answer : C. 72

Evaluate permutation equation 59P3 ?

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Answer : C. 195054

How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated ?

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Answer : D. 20

Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed ?

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Answer : C. 25200

In how many ways, a group of 3 boys and 2 girls can be formed out of a total of 4 boys and 4 girls ?

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Answer : D. 24

How many ways the letters of the word ‘ARMOUR’ can be arranged ?

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Answer : D. 360

In how many possible ways can you write 1800 as a product of 3 positive integers a, b, c ?

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Answer : B. 360

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