TS EAMCET · Maths · Permutation Combination
The total number of ways of selecting 4 letters from all the letters of the word TSEAMCET is
- A 12
- B 13
- C 26
- D 36
Answer & Solution
Correct Answer
(D) 36
Step-by-step Solution
Detailed explanation
Given that T \(\rightarrow 2, \mathrm{E} \rightarrow 2\) and S, A, M, C \(\rightarrow 1\) Case 1. Selecting 4 letters in which all are different \[ ={ }^6 \mathrm{C}_4=\frac{6 \cdot 5 \cdot 4 \cdot 3}{4 \cdot 3 \cdot 2 \cdot 1}=15 \] Case 2. Selecting one double pair and 2…
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