1) There are 30 people in a group. If all shake hands with one another , how many handshakes are possible?
a. 870
b. 435
c. 30!
d. 29! + 1
Ans: 435
2) In how many ways can we arrange the word ‘FUZZTONE’ so that all the vowels come together?
a. 1440
b. 6
c. 2160
d. 4320
Ans:2160
3) In Cricket League, in first round every team plays a match with every other team. 9 teams participated in the Cricket league. How many matches were played in the first round?
a. 36
b. 72
c. 9!
d. 9! - 1
Ans: 36
4) How many combinations are possible while selecting four letters from the word ‘SMOKEJACK’ with the condition that ‘J’ must appear in it?
a. 81
b. 8!/2!
c. 3!/2!
d. 41
Ans:41
5) In a room there are 2 green chairs, 3 yellow chairs and 4 blue chairs. In how many ways can Sam choose 3 chairs so that at least one yellow chair is included?
Ans:-64
a. 3
b. 30
c. 64
d. 84
6) Without repetition, using digits 2, 3, 4, 5, 6, 8 and 0, how many numbers can be made which lie between 500 and 1000?
a. 70
b. 147
c. 60
d. 90
Ans:90
7) In a class, there are 15 students. During a party all of them shook hands with each other only once. How many handshakes took place in the class?
a. 120
b. 210
c. 105
d. 55
Ans:105
8) 20) A box contains 4 black, 3 red and 6 green marbles. 2 marbles are drawn from the box at random. What is the probability that both the marbles are of the same color?
a. 12/74
b. 24/78
c. 13/78
d. None of these
Ans: b
9) A box contains 2 white, 3 black and 5 red balls. In how many ways can three balls be drawn from the box if at least one black ball is to be included in the draw?
a. 29
b. 36
c. 48
d. 85
e. None of these
Ans: 85
10)On a shelf, 2 books of Geology, 2 books of Sociology and 5 of Economics are to be arranged in such a way that the books of any subject are to be together. Find in how many ways can this be done?
a. 3846
b. 2880
c. 900
d. 90
e. None of these
Ans:2880
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