TS EAMCET · Maths · Permutation Combination
All the letters of the word 'COLLEGE' are arranged in all possible ways and all the seven letter words (with or without meaning) thus formed are arranged in the dictionary order. Then the rank of the word 'COLLEGE' is
- A 119
- B 149
- C 176
- D 179
Answer & Solution
Correct Answer
(D) 179
Step-by-step Solution
Detailed explanation
COLLEGE \(\begin{array}{|c|c|c|c|c|c|c|}\hline 1 & 5 & 4 & 4 & 2 & 3 & 2 \\C & O & L & L & E & G & E \\\hline 6!\times 0 & \frac{5!\times 5}{2 \times 2} & \frac{4!\times 3}{2 \times 2} & \frac{3!\times 3}{2} & 2!\times 0 & 1!\times 1 & 0!\times 0 \\\hline\end{array}\) Then rank…
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