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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 : (2C1 x 4C2 + 2C2 x 2C1) 3! = 96

72
48
96
None of these

Correct Answer: 96

Explanation:

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

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