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From 6 consonants and 3 vowels, words are made using 3 different consonants and 2 different vowels. How many such words are possible?

Competition practicePermutations & Combinations

A60
B3600
C7200
D14400

Step-by-Step Solution

Choose letters:

^{6} C_{3} \times^{3} C_{2} = 20 \times 3 = 60

. Arrange 5 letters:

5! = 120

. Total

60 \times 120 = 7200

.

Answer: C) 7200

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