Latest Bank Exam Aptitude Question SOLUTION: how many 4 consonants and 3 vowels can be made from 12 consonants and 4 vowels

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(#M40037250) BANK EXAM Numerical Ability question permutation Keep an EYE

how many 4 consonants and 3 vowels can be made from 12 consonants and 4 vowels

Asked In Bank Exam Akhila (11 years ago)

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Gourav Kumar Pandey  (11 years ago)

Sorry, the explanation would be:
Number of ways of selecting 4 consonants out of 12 = 12C4 = 2970
Number of ways of selecting 3 vowels out of 4 = 4C3 = 4

Number of ways of selecting 4 consonants out of 12 and 3 vowels out of 4 =
12C4 x 4C3 = 2970*4 = 11880.

It means that we can have 11880 groups where each group contains total 7 letters(4 consonants and 3 vowels).

Now, the number of ways of arranging 7 letters among themselves = 7!

= 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040

Hence, Required number of ways = 11880 x 5040 = 59875200.

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modem mounika  (11 years ago)

4 consonants select from 12 consonants in 12c4 ways i.e, 495
3 vowels select from 4 vowels in 4c3 ways i.e, 4
so the ans is 495*4
2070

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Gourav Kumar Pandey  (11 years ago)

With 12 consonants, 3 number of 4 consonants can be made and with the help of 4 vowels, at least 1 number of 3 vowels can be made. So in all, 4 is the answer.

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