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Question

Mathematics Question on Permutations

Total number of words formed by 22 vowels and 33 consonants taken from 44 vowels and 55 consonants is equal to

A

6060

B

120120

C

72007200

D

720720

Answer

72007200

Explanation

Solution

Given 44 vowels and 55 consonants \therefore Total number of words =4C2×5C3×5!=\,^ {4}C_{2} \times\, {5}C_{3} \times \, 5! =7200= 7200