TS EAMCET · Maths · Permutation Combination
The number of all possible three letter words that can be formed by choosing three letters from the letters of the word FEBRUARY so that a vowel always occupies the middle place is
- A 90
- B 93
- C 126
- D 129
Answer & Solution
Correct Answer
(B) 93
Step-by-step Solution
Detailed explanation
Let the letters of "FEBRUARY" be: F, E, B, R, U, A, R, Y. Distinct vowels: V = {E, U, A} (3 vowels) Distinct consonants: C = {F, B, R, Y} (4 consonants). The letter R appears twice in "FEBRUARY". The three-letter word has the form L1 L2 L3, where L2 must be a vowel. Case 1: All…
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