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How many words of 4 consonants and 3 vowels can be made from 12 consonants and 4 vowels. If all the letters are different?

251820
258120
281520
285120

Correct Answer: 285120

Explanation:

Required no. of words = ¹²P₄ x ⁴P₃
= 12 x 11 x 10 x 9 x 4 x 3 x 2
= 120(100 - 1) x 24
= 288000 - 2880
= 285120

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