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From 3 capitals, 5 consonants and 4 vowels , how many words can be made, each 3 consonants and 2 vowels and begins with a capital?

From 3 capitals, 5 consonants and 4 vowels , how many words can be made, each 3 consonants and 2 vowels and begins with a capital?

Grade:11

1 Answers

Arun
25750 Points
5 years ago
Dear Nandish
 
we can select one capital in 3C1 ways and two vowels in 4C2 ways and 3 consonants in 5C3 ways
 
After making selection
we can arrange
5 letters in 5! ways
 
No of ways = 3C1 * 4C2 * 5C3 * 5!
 
 = 216000 ways

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