IIT JEE match the column on permutation,will clear pnc concepts ,try it! (GATE ASPIRANTS)

[geetam]

Consider all possible permutations of the letters of the word ENDEANOEL.
Column I
(A) The number of permutations containing the word ENDEA is
(B) The number of permutations in which the letter E occurs in the first
and the last positions is
© The number of permutations in which none of the letters D, L, N occurs in
the last five positions is
(D) The number of permutations in which the letters A, E, O occur only in
odd positions is

Column II
§ 5!
(q) 2× 5!
® 7× 5!
(s) 21 × 5!

The question can increase your overall aptitude level …

[tarunprakashiit]

Though you can find various solutions online,but I am postin famous IIT Professor K,D Joshi explanation which he published as educative commentary on IIT JEE 2008 paper and explains on some other variations the problem the can have,how can this problem would have been more challenging-

http://www.math.iitb.ac.in/~kdjoshi/jee2008.pdf

Answer starts from page 78.