Question
Create a three-letter word using the English alphabet
where the first letter is a consonant, the second letter is another consonant that is not the same as the first, and the third letter is a vowel. How many such words can be formed?Solution
ATQ, Number of ways to choose the first letter (consonant) = 21C1 = 21 Number of ways to choose the second letter (Different consonant) = 20C1 = 20 Number of ways to choose the third letter (vowel) = 5C1 = 5 Hence total number of ways = 21 × 20 × 5 = 2100 ways
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