TS EAMCET · Maths · Permutation Combination
If all the letters of the word ACADEMICIAN are permuted in all possible ways then the number of permutations in which no two A's are together and all the consonants are together is
- A 7200
- B 14400
- C 3600
- D 1800
Answer & Solution
Correct Answer
(A) 7200
Step-by-step Solution
Detailed explanation
Letters: A(3), C(2), D(1), E(1), I(2), M(1), N(1) Consonants: C, C, D, M, N Permutations of consonants together: \( \frac{5!}{2!} = 60 \) Non-A items to arrange: (C_block), E, I, I Permutations of non-A items: \( \frac{4!}{2!} = 12 \) Gaps available for A's: 5 Ways to place 3…
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