- A team of 8 players is to be
chosen from a group of 12 players.
Out of the 8 players one is to be
elected as captain and another an
vice-captain. In how many ways can
this is done?
(a) 27720 (b) 13860 (c) 6930 (d)
495 - If C(n, 8)=C(n, 2), then what is the
value of C(22, n)?
(a) 131 (b) 231 (c) 256 (d) 292 - What is the value of r, if P(5, r)=
P(6, r – 1)?
(a) 9 (b) 5 (c) 4 (d) 2 - How many words, with or
without meaning can be formed by
using all the letters of the word
‘MACHINE’, so that the vowels
occurs only the odd positions?
(a) 1440 (b) 720 (c) 640 (d) 576
31. From 7 men and 4 women a
committee of 6 is to be formed such
that the committee contains at least
2 women. What is the number of
ways to do this?
(a) 210 (b) 371 (c) 462 (d) 5544
32. In how many ways can 3 books
on Hindi and 3 books on English be
arranged in a row on a shelf, so that
not all the Hindi books are together?
(a) 144 (b) 360 (c) 576 (d) 720
33. What is the number of five-digit
numbers formed with 0, 1, 2, 3, 4
without any repetition of digits?
(a) 24 (b) 48 (c) 96 (d) 120
34. A group consists of 5men and 5
women. If the number of different 5-
person committees containing k
men and (5 – k) women is 100, what
is the value of k?
(a) 2 only (b) 3 only (c) 2 or 3 (d) 4
PROBABILITY
- A husband and wife appear in an
interview for two vacancies in the same
post. The probability of husband’s
selection is^ and that of wife’s
selection is^. What is the probability
that only one of them will be selected?
(a)^ (b)^ (c)^ (d)^
- Two letters are drawn at random
from the word ‘HOME’. What is the
probability that both the letters are
vowels?
(a)^ (b)^ (c)^ (d)^
- In a random arrangement of the
letters of the word ‘UNIVERSITY’, what
is the probability that two I’s do not
come together?
(a)^ (b)^ (c) (d)- In a class of 125 students 70 passed
in Mathematics, 55 passed in Statistics
and 30 passed in both subjects. What is
the probability that a student selected
at random from the class has passed in
only one subject?
(a)^ (b) (c)^ (d) - What is the probability of having 53
Sundays or 53 Mondays in a leap year?
(a)^ (b)^ (c)^ (d)^