the expansion of (a + b)n is 4096, then greatest
coefficient in the expansion is
(a) 1594 (b) 792
(c) 924 (d) 2924- In the binomial expansion of (a – b)n, n ≥ 5,
the sum of 5th and 6th terms is zero, then a/b
equals
(a) n−^5
6
(b)n− 4
5(c)5
n− 4 (d)6
n− 5
One or More Than One Option(s) Correct Type- If the term independent of x in the expansion of
(/)xkx−^210 is 405, then value of k is
(a) 3 (b) – 3
(c) 9 (d) –9
Only One Option Correct Type- A class contains three girls and four boys. Every
saturday five students go on a picnic, a different
group being sent each week. During the picnic, each
girl in the group is given a doll by the accompanying
teacher. After all possible groups of the five have
gone once, the total number of dolls that the girls
have got, is
(a) 27 (b) 11
(c) 21 (d) 45 - For a game in which two partners play against
two other partners, six persons are available. If
every possible pair must play with every other
possible pair, then the total number of games
played is
(a) 90 (b) 45
(c) 30 (d) 60 - The expression (^10 C 0 )^2 – (^10 C 1 )^2 + (^10 C 2 )^2 – ..... +
(^10 C 8 )^2 – (^10 C 9 )^2 + (^10 C 10 )^2 equals
(a)^10 (b) (^10 C 5 )^2
(c) –^10 C 5 (d)^10 C 5 - At the time of Diwali festival, from a match box,
having 3 red, 2 blue, 7 green sticks, 3 are taken from
the box. The number of ways at least one of them is
red stick, is
(a) 136 (b) 108
(c) 27 (d) 135 - If the sum of the coefficients of various terms in
Total Marks : 80 Time Taken : 60 Min.
T
his specially designed column enables students to self analyse their
extent of understanding of specified chapters. Give yourself four
marks for correct answer and deduct one mark for wrong answer.
Self check table given at the end will help you to check your
readiness.Class XI
Permutations & Combinations |
Binomial Theorem