Saturday, 24 December 2016

7 Permutation , Combination and Probability MCQs

Chapter 07: Permutation , Combination and Probability

How many 5-digit numbers multiples of 5 can be formed from the digits 2,3,5,7,9, when no digit is repeated. a)                                                                                                                                          24                    b)         45                    c)         16                      d)         38
2)                   If nP2 = 30, the value of n is a)                                                                                                                                          6                      b)         8                      c)         10                      d)         3s
3)                   In how many ways can 5 boys and 5 girls be seated in a circle, so that no two boys are together
a)                                                                                                                                          4! 5!                                                     b)         4! 4!
c)         5! 5!
4)                   If nC12 = nC8, then n =
a)                                                                                                                                          8                      b)         12                    c)         20                      d)         4
5)                   A person has 6 friends. In how many ways, can he invite one or more of his friends to the movies.
a)                                                                                                                                          30                                                        b)         63
c)         6!
6)                   In a conference of 8 persons each of them shakes hand with each other once daily.
Then the number of ways of shaking hand is
a)                                                                                                                                          28                    b)         64                    c)         56                      d)         35
7)                   Everybody in a room shakes hand with every body else. The total number of hand shakes is 66. Then the number of persons in the room is
a)                                                                                                                                          12                    b)         8                      c)         11                      d)         6

12)               An event E is certain event if P(E) is:
a)                                                                                                                                          0                      b)         1                      c)         .2                       d)         –2
13)               If A and B are overlapping then P(A) + P(B) – P(A B) is equal to
a)                                                                                                                                          P(A  B)       b)         P (A B)        c)         A (P B) d)         None of these
14)               Events A, B and C are equally likely when:
a)                                                                                                                                          P(A) + P(B) = P(C)                 b)         P(A) = P(B) + P(C)
c)         P(B) = P(A)+ P(C)                              d)         P(A) = P(B) = P(C)
c)         –1 P(A) 1                                      d)        None of these

18)               How many triangles can be formed by joining the vertices of the polygon having 5 sides.
a)                                                                                                                                          20                    b)         15                    c)         10          d)         None of these

20)               Hammad has six friends. He can invite one or more of them to a party in
a)                                                                                                                                          60 ways           b)         61 ways           c)         63 ways  d)         None of these
21)               Numbers are formed by using all the digits 1,2,3,4,5,6 no digit being repeated, then the numbers which are divisible by 5 are
a)                                                                                                                                          110                  b)         120                  c)         122        d)         124
22)               Numbers of six digits are formed from the digits 4,5,6,7,8,9, no digit being repeated.
How many of them are not divisible by 5?
a)                  200  b) 400  c) 600  d) None of these  31)
The number of ways, in which a student can choose 5 courses out of 9 courses if 2 courses are compulsory is
a)         25                    b)         35                    c)         45                    d)         55
32)              The number of ways in which five persons can sit at a round table is
a)                                                                                                                                          4!                     b)         5!                     c)         5! / 2    d)         None of these
33)              Probability of an impossible event is
a)                                                                                                                                          0                      b)         1                      c)         –1                    d)
34)              Total three digit positive integers are
a)                                                                                                                                          900  b) 999  c) 93!  d) None of these
b)
39)              If 20Cr+4 = 20C2r+1 then r =
a)                    1                      b)         2                      c)         3                      d)         4
40)              The number of ways in which 8 red balls and 6 black balls be arranged in a row so that no two black balls may be together is

a)                    80                    b)         82                                c)         84                    d)         86