PERMUTAION AND COMBINATION Question for CAT (Circular)
- Jul 22
- 2 min read
PERMUTAION AND COMBINATION Question for CAT
Q.1 The number of ways in which 10 children can sit in a merry-go-round relatively to one another will be
a.10!
b.9!
c.10!/2
d.9!/2
Q.2 In how many ways can we arrange 9 different flowers in a circle to form a garland using these flowers?
a.9!
b.8!
c.9!/2
d.8!/2
Q.3 In how many ways can 16 people be seated across a square table with 4 persons sitting on each side of the square?
a.16!
b.8x15!
c.4x15!
D.15!
Q.4 In how many ways can we arrange 10 people around a rectangular table such that there are 3 chairs on the longer side and 2 on the shorter side ?
a.5 x 9!
b.9!
c.3 x 9!
d.None of the above
Q.5 Let there be 12 people who are needed to be arranged around an equilateral triangular table which has 4 seats on each side. How many such arrangements are possible?
a.11!
b.3x11!
c.4x11!
d.None of the above
Q.6 6 Boys and 6 Girls are to be seated around a circular table so that the person of same gender never sits together. Find the total number of arrangements.
a.21600
b.43200
c.63200
d.86400
Q.7 Find the number of ways in which 5 people A, B, C, D, and E can be seated at a round table, such that A and B always sit together.
a.12
b.24
c.48
d.None of the above
Q.8 Find the number of ways in which 5 people A, B, C, D, and E can be seated at a round table, such that C and D never sit together.
a.12
b.24
c.108
d.None of the above
Q.9 In how many ways can 6 couples be seated around a circular table such that each couple is sitting together?
a.11!
b.6! X 26
c.5! X 26
d.5! X 25
Q.10 In how many ways can 6 Indians and 8 Americans sit across a circular table with 14 equi-spaced chairs such that no two Indians are sitting next to each other?
a.7! X 5!
b.8! X 6!
c.7! X 8P6
d.7! X 6!
Answer for Permutation and Combination for CAT
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
B | D | C | A | C | D | A | A | C | C |
Comments