AIEEE Exam

A student is allowed to select at most n books
from a collection of (2n + 1) books. If the total
number of ways in which he can select at least
one book is 63, then the value of n is -
(A) 2 (B) 3 (C) 4 (D) 5

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AIEEE Other Question

n the expansion of ( 4 9 +6 8 )
500 the number of
terms which are integral is -
(A) 250 (B) 43
(C) 251 (D) 44
If all the permutations of the letters in the word
'OBJECT' are arranged (and numbered serially)
in alphabetical order as in a dictionary, then the
717th word is -
(A) TOJECB (B) TOJEBC
(C) TOCJEB (D) TOJCBE