Question

Consider all possible permutations of the letters of the word ENDEANOEL.
Match the Statements / Expressions in List 1 with the Statements / Expressions in List 2 and indicate your answer by darkening the appropriate bubbles in the $4\times 4$ matrix given in the $ORS.$

Answer 1

(A) ENDEA, N, O, E, L are five different letter, then permutation $=5!$
(B) If E is in the first and last position then $\frac{(9-2)!}{2!}=7\times 3\times 5!=21\times 5!$
(C) for first four letters $=\frac{4!}{2!}$
for last five letters $=5!/3!$
Hence $\frac{4!}{2!}\times \frac{5!}{3!}=2\times 5!$
(D) For A,E and O $5!/3!$ and for others $4!/2!$
hence $\frac{5!}{3!}\times \frac{4!}{2!}=2\times 5!$.