11th Class Mathematics Sample Paper Maths Olympiad Model Paper-1

Consider all possible permutations of the letters of the word ENDEANOEL. Match the Statement/Expressions on the left with the Statements/Expressions on the right

a. The number of permutations the word ENDEA is (p) 5!

b. The number of permutations in Which the letter E occurs in the first and the last positions is (q) \[2\times 5!\]

c. The number of permutations in Which none of the letters D, L, N occurs in the last five positions is (r) \[7\times 5!\]

d. The number of permutations in Which the letters A, E, 0 occur only in odd position is (s) \[21\times 5!\]

A) a - p, b - q, c - r, d - s

B) a - p, b - s, c - q, d - r

C) a - q, b - s, c - r, d - p

D) a - s, b - r, c - q, d - p

E) None of these

Correct Answer: E

Solution :

Not Available

a.	The number of permutations the word ENDEA is	(p)	5!
b.	The number of permutations in Which the letter E occurs in the first and the last positions is	(q)	\[2\times 5!\]
c.	The number of permutations in Which none of the letters D, L, N occurs in the last five positions is	(r)	\[7\times 5!\]
d.	The number of permutations in Which the letters A, E, 0 occur only in odd position is	(s)	\[21\times 5!\]