Q. 11

# Write the total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants.

Answer :

2 out of 4 vowels and 3 out of 5 consonants can be chosen in 4C25C3 ways.

The total number of letters is 5. These letters can be arranged in 5! ways.

Total number of words =

4C25C3 5!

= 6 10 120

= 7200

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