Out of 8 consonants and 5 vowels, how many words can be made, each containing 4 consonants and 3 vowels?
Explanation:
Out of 8 consonants, 4 consonants can be selected in 8C4 = 70 ways.
Out of 5 vowels, 3 vowels can be selected in 5C3
= 10 ways.
These 7 selected letters can be arranged among themselves in 7! ways.
Thus total number of ways = 70 ´ 10 ´ 7! = 3528000
Hence, option (c).
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