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The number of words which can be formed ...

The number of words which can be formed out of the letters `a`, `b`, `c`, `d`, `e` `f` taken 3 together, each word containing one vowel at least is

Text Solution

Verified by Experts

In the given letters, there are `2` vowels.
We have to form words using at least one vowel.
So, we can use either `1` or `2` vowel and remaining letters can be `4` consonants.
`:.` Required number of words ` = C(2,1)*C(4,2)+ C(2,2)*C(4,1)`
`= 2**(4**3)/(2**1)+1**(4) = 12+4 = 16`
So, correct answer is option `D`.
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