Out of 6 consonants and 5 vowels, how many words can be formed using 4 consonants and 2 vowels?

Out of 6 consonants and 5 vowels, how many words can be formed using 4 consonants and 2 vowels? Correct Answer 252000

Given that, 4 out of 6 consonants and 2 out of 5 vowels. So, (nCr * nCr). Where nCr = n! / r!(n – r)!. (7C4 * 5C2) = (7! / 4!(7 – 4)! * 5! / 2!(5 – 2)!) = (7 * 6 * 5 * 4!) / (4! * 3!) * (5 * 4 * 3!) / (2! * 3!)). (35 * 10) = 350. Number of words, each having 4 consonants and 2 vowels = 350. Each word contains 6 letters. Number of ways of arranging 6 letters among themselves = 6! = 720. Required number of ways = (350 * 720) = 252000.