Question:
Total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants is equal to
A. 60
B. 120
C. 7200
D. 720
Solution:
C. 7200
Explanation:
We know that,
nCr
$=\frac{n !}{r !(n-r) !}$
Total number of given vowels=4
Total number of given consonant=5
Total number of words that can be formed by 2 vowels and 3 consonants =4C2.5C3 = 4!/2!2!
2 vowel and 3 consonant =5!
Total number of word = 5! ×4!/2!2! = 7200
Hence, Option (C) 7200 is the correct answer.