How many words of 3 consonants and 2 vowels can be formed from 5 Consonants…

2025

How many words of 3 consonants and 2 vowels can be formed from 5 Consonants and 4 vowels?

  1. A.

    40

  2. B.

    45

  3. C.

    60

  4. D.

    50

Attempted by 24 students.

Show answer & explanation

Correct answer: C

Answer: 60

Explanation:

  • Choose 3 consonants from the 5 available: C(5,3) = 10.

  • Choose 2 vowels from the 4 available: C(4,2) = 6.

  • Total selections (without ordering) = 10 × 6 = 60.

Note: If the problem had asked for ordered 5-letter words (arrangements) using those chosen letters, multiply by 5! to get 60 × 120 = 7200. The provided options indicate the intended interpretation is selection without ordering.

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