WBJEE · Maths · Permutation Combination
Out of 7 consonants and 4 vowels, the number of words (not necessarily meaningful) that can be made, each consisting of 3 consonants and 2 vowels, is
- A 24800
- B 25100
- C 25200
- D 25400
Answer & Solution
Correct Answer
(C) 25200
Step-by-step Solution
Detailed explanation
3 consonants can be selected from 7 consonante \[ ={ }^{7} C_{3} \text { ways } \] 2 vowels can be selected from 4 vowels \[ ={ }^{4} C_{2} \text { ways } \] \(\therefore\) Required number of words \[ ={ }^{7} C_{3} \times{ }^{4} C_{2} \times 5 ! \] [selected 5 letters can be…
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