TS EAMCET · Maths · Permutation Combination
The number of all possible combinations of 4 letters which are taken from the letters of the word ACCOMMODATION is
- A 167
- B 161
- C 160
- D 157
Answer & Solution
Correct Answer
(A) 167
Step-by-step Solution
Detailed explanation
\(A-2, C-2, O-3, M-2, D-1, T-1, I-1, N-1\) The following cases arise : 3 alike and one different - No. of ways is 7 . 2 alike and 2 alike - No. of ways \(={ }^4 C_2=6\) 2 alike, 2 different \(={ }^4 C_1 \times{ }^7 C_2=4 \times 21=84\) All 4 different \(={ }^8 C_4=70\) Total no.…
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