SATHEE: Permutations And Combinations Question 142

Permutations And Combinations Question 142

Question: A total number of words which can be formed out of the letters $ a,\ b,\ c,\ d,\ e,\ f $ taken 3 together such that each word contains at least one vowel, is

Options:

A) 72

B) 48

C) 96

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

The required number of words is $ {{(}^{2}}C_1{{\times }^{4}}C_2{{+}^{2}}C_2{{\times }^{4}}C_1)3\ !\ =96 $ .

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Permutations And Combinations Question 142

Question: A total number of words which can be formed out of the letters $ a,\ b,\ c,\ d,\ e,\ f $ taken 3 together such that each word contains at least one vowel, is

Options:

Answer:

Solution:

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