Q.
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
Explanation
[Solution by Dr. Abubacker] M is the 13th letter. Choose 2 letters from the 12 before M and 2 from the 13 after M: $\binom{12}2\binom{13}2=66\times78=5148$. Answer (1).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.