Q1. Four cards are selected from a pack. In how many ways can this be done so that the selection has at least one spade?
a. 4! x C (39, 4)
b. C (39, 4)
c. C (52, 4)
d. C (52, 4) - C (39, 4)

ans is (D)

Q2. The number of ways in which 4 letters A, B, C and D can be arranged in a line such that C occurs between A and B, and D does not occur between A and B is
a. 4
b. 6
c. 8
d. 12

ans is(A)

Q3.A boy has 4 different boxes and 5 different marbles. In how many ways can he place the marbles ?
a. 560
b. 240
c. 420
d. 36

me getting 1024 correct me i    know i am wong

Q4. Four teams each consisting of two students have participated in the NCC Camp. It was decided that all the students are seated in a row such that members in each team should sit together. In how many different ways can they be seated?
a. 24
b. 48
c. 196
d. None of these

ans is(A)

Q5.  The letters of the word DENOMINATION are arranged in all possible ways. In how many arrangements, do no two vowels come together?

a. 7.6! / (3!)^2  x 2!

b. 7.6!^2 / (3!) x (2!)^2

c. 7.6!^2 / (3!) x (2!)

d. None of the above

Q6. In how many ways 7 distinct books can be placed on 4 distinct tables?
a. 2^6 x 2^6
b. 128 x 128
c. 4^7 x 4^7
d. 4^6 x 4^6

ans is   128*128

Little Star