JEE Mains · Maths · STD 11 - 6. permutation and combination
From all the English alphabets, five letters are chosen and are arranged in alphabetical order. The total number of ways, in which the middle letter is ' M ', is :
- A \(5148\)
- B \(6084\)
- C \(4356\)
- D \(14950\)
Answer & Solution
Correct Answer
(A) \(5148\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \underbrace{A B}_{12} \quad \underbrace{\text { MN........Z }}_{13} \\ & =\underset{\substack{\text { Selection of two } \\ \text { leters before } \mathrm{M}}}{{ }^{12} \mathrm{C}_2} \times \underset{\substack{\text { Selection of two } \\ \text { leter after…
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