The 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?

Q: The 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?

The required number of words is : ( 2 C 1 x 4 C 2 + 2 C 2 x 2 C 1 ) 3! = 96

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Accepted Answer

The required number of words is : (²C₁ x ⁴C₂ + ²C₂ x ²C₁) 3! = 96

The 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?

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