CAT4MBA

Q1. In how many  ways can 4 books be selected out of 16 books on different subjects?
a. 34650
b. 43680
c. 43890
d. None of these

Q2. In a group of 50 people, 35 people speak hindi, 25 people speak both hindi and English, and all the people speak at least one of the two lanyqages. The number of people who speak English is
a. 45
b. 40
c. 15
d. 30

Q3. From among 6 couples, a committee of five members is to be formed. If the selected committee has no couple, then in how many ways can the committee be formed?
a. 6
b. 792
c. 40
d. 192

Q4. In how many ways can four similar cell phones be distributed among 10 boys so that no boy receives more than one cell phone?
a. 2880
b. 210 ->
c. 4^10
d. 10^4
e. 840

Q5. A mini cricket team consisting of 8 players, of which one is a wicketkeeper, is to be selected from a group of 13 players – 5 bowlers, 7 batsmen and 1 wicketkeeper. Given the number of bowlers, the number of ways selecting the team is 175; then, the team consists of :
a. 5 bowlers
b. 4 batsmen
c. 3 batsmen
d. 4 bowlers
e. None of these

Q6. In how many ways can 8 distinct things can be divided among three people such that any one can receive any number of things?
a. 1556
b. 6561
c. C( 8,2)
d. C(7, 2)

Q7. Five balls of different are to be placed in three boxes of different sizes. Each box can hold all five balls. In how many different ways can we place the balls so that no box remain empty
a. 119
b. 150
c. 180
d. 210