AP EAMCET · Maths · Permutation Combination
If all the letters of the word COMBINATION are arranged in all possible ways to form 11 letter words (with or without meaning), then the number of words among them in which C and N occupy the end positions and no vowel appears exactly in the middle position is
- A \(\frac{5}{2}(8!)\)
- B \(4(8!)\)
- C \(2(8!)\)
- D \(36(7!)\)
Answer & Solution
Correct Answer
(C) \(2(8!)\)
Step-by-step Solution
Detailed explanation
Ways to place C and N at end positions: \(2\) Remaining 9 letters for middle positions (O(2), I(2), M(1), B(1), N(1), A(1), T(1)). Total permutations of 9 letters: \( \frac{9!}{2!2!} = \frac{9!}{4} \) Permutations with a vowel in middle (P6):…
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