Permutations And Combinations Question 131

Question: How many words of 4 consonants and 3 vowels can be formed from 6 consonants and 5 vowels [RPET 1985]

Options:

A) 75000

B) 756000

C) 75600

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

  • Required number of words $ {{=}^{6}}C_4{{\times }^{5}}C_3\times 7!\ =756000 $ {Selection can be made in $ ^{6}C_4{{\times }^{5}}C_3 $ while the 7 letters can be arranged in $ 7\ ! $ }.

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