Multiple choice

From the letters of the word $'DAUGHTER'$, how many words can be formed each consisting of $2$ vowels and $3$ consonants?

  1. $32$
  2. $15$
  3. $30$
  4. $16$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The word DAUGHTER has 8 letters: 3 vowels (A, U, E) and 5 consonants (D, G, H, T, R). We need to choose 2 vowels out of 3, which is 3C2 = 3 ways, and 3 consonants out of 5, which is 5C3 = 10 ways. The total number of combinations is 3 * 10 = 30.

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