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      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?
      A 2100 ways Correct Answer Incorrect Answer
      B 2362 ways Correct Answer Incorrect Answer
      C 2205 ways Correct Answer Incorrect Answer
      D 2125 ways Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      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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