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Arithmetic aptitude :: Permutations and Combinations :: General Questions




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6.

From a group of 7 men and ,6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways car. it be done ?


A) 564

B) 645

C) 735

D) 756

E) None of these



7.

In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women ?


A) 266

B) 5040

C) 11760

D) 86400

E) None of these



8.

In how many ways can a group of 5 men and 2 women he made out of a total of 7 men and 3 women ?


A) 63

B) 90

C) 126

D) 45

E) 135



9.

In how many different ways can the letters of the word 'MACHINE' be arranged so that the vowels may occupy only the odd positions ?


A) 210

B) 576

C) 144

D) 1728

E) 3456



10.

In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions ?


A) 32

B) 48

C) 36

D) 60

E) 120



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