Q1)-From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there in the committee. In how many ways can it be done?
Q2)-How many 3-digit numbers can be formed with the digits 1,4,7,8 and 9 if the digits are not repeated?
Q3)-There are 8 men and 10 women and you need to form a committee of 5 men and 6 women. In how many ways can the committee be formed?
Q4)-There are 6 boxes numbered 1, 2, ... 6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. The total number of ways in which this can be done is:
Q5)-A teacher is making a multiple choice quiz. She wants to give each student the same questions, but have each student's questions appear in a different order. If there are twenty-seven students in the class, what is the least number of questions the quiz must contain?
Q6)-A man can hit a target once in 4 shots. If he fires 4 shots in succession, what is the probability that he will hit his target?
Q7)-A coach must choose five starters from a team of 12 players. How many different ways can the coach choose the starters?
Q8)-In how many ways 4 boys and 3 girls can be seated in a row so that they are alternate.
Q9)-How many different words can be formed with the letters of the word ‘SUPER’ such that the vowels always come together?
Q10)-Find the number of permutations of the letters of the word ‘REMAINS’ such that the vowels always occur in odd places.
624
702
756
812
Ans.- C
Q2)-How many 3-digit numbers can be formed with the digits 1,4,7,8 and 9 if the digits are not repeated?
40
60
80
100
Ans.- B
Q3)-There are 8 men and 10 women and you need to form a committee of 5 men and 6 women. In how many ways can the committee be formed?
10420
11760
11560
none of these
Ans.- B
Q4)-There are 6 boxes numbered 1, 2, ... 6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. The total number of ways in which this can be done is:
33
21
55
49
Ans.- B
Q5)-A teacher is making a multiple choice quiz. She wants to give each student the same questions, but have each student's questions appear in a different order. If there are twenty-seven students in the class, what is the least number of questions the quiz must contain?
10
15
5
20
Ans.- C
Q6)-A man can hit a target once in 4 shots. If he fires 4 shots in succession, what is the probability that he will hit his target?
1/256
175/256
17/23
144/256
Ans.- B
Q7)-A coach must choose five starters from a team of 12 players. How many different ways can the coach choose the starters?
792
760
1200
110
Ans.- A
Q8)-In how many ways 4 boys and 3 girls can be seated in a row so that they are alternate.
121
144
12
256
Ans.- B
Q9)-How many different words can be formed with the letters of the word ‘SUPER’ such that the vowels always come together?
36
48
50
64
Ans.- B
Q10)-Find the number of permutations of the letters of the word ‘REMAINS’ such that the vowels always occur in odd places.
468
265
576
256
Ans.- C
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