Latest IBM Aptitude Question SOLUTION: How many words of 4 consonants and 3 vowels can be made from 12 consonants and 4 vowels, if all the letters are different?

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How many words of 4 consonants and 3 vowels can be made from 12 consonants and 4 vowels, if all the letters are different?

Asked In IBM (12 years ago)

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Read Solution (6) :

DIVYA TALARI  (12 years ago)

4 consonants out of 12 can be selected in 12C4 ways.

3 vowels can be selected in 4C3 ways.

Therefore, total number of groups each containing 4 consonants and 3 vowels = 12C4 * 4C3

Each group contains 7 letters, which can be arranging in 7! ways.

Therefore required number of words = 124 * 4C3 * 7!

Is this solution Helpfull? Yes (49) | No (4)  

ANJALI TANEJA  (12 years ago)

Rqrd No. of words= 4P3 * 12P4 =285120

Is this solution Helpfull? Yes (6) | No (24)  

surbhi  (12 years ago)

1980 words

Is this solution Helpfull? Yes (5) | No (7)  

sairanga talari  (7 years ago)

Total number of words possible=12C4 * 4C3
Total no of arrangements = 12C4 * 4C3 * 7!

Is this solution Helpfull? Yes (5) | No   

Basant Bothra  (7 years ago)

Try this one...
Out of 12 consonants 4 consonants=12C4
Out of 4 vowels 3 vowels=4C3
Total group=12C4*4C3
Each group contains 7 letters,
SoTotal words=(12C4*4C3*7!)
=(495*4*5040)
=9979200

Is this solution Helpfull? Yes (3) | No (1)  

vaishali  (7 years ago)

1980
12c4*4c3

Is this solution Helpfull? Yes (1) | No (1)  

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