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permutations and combinations examples

8 Articles

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

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Answer : A. 105

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

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

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

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Answer : D. 360

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