Maths · Simple applications
Out of 7 consonants and 4 vowels, words are formed each having 3 consonants and
Out of 7 consonants and 4 vowels, words are formed each having 3 consonants and 2 vowels. The number of such words that can be formed is
- A. 210
- B. 25200
- C. 2520
- D. 302400
Step-by-step solution
First, choose 3 consonants out of 7: C(7,3) = 35. Then choose 2 vowels out of 4: C(4,2) = 6. Then arrange these 5 letters: 5! = 120. Multiply: 35 × 6 × 120 = 25200.
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