Question

How many ways are there to pick 5 letters from English alphabets such that M is the middle of the letters (repetition not allowed).

(1) \({ }^{26} \mathrm{C}_5\cdot5 !\)

(2) \({ }^{25} \mathrm{C}_4\cdot4 !\)

(3) \({ }^{26} \mathrm{C}_4\cdot4 !\)

(4) \({ }^{25} \mathrm{C}_5\cdot5 !\)

Answer 1

Correct option is (2) \({ }^{25} \mathrm{C}_4\cdot4 !\)

\({ }^{25} \mathrm{C}_4 \times 4!\)