Permutation and Combination Quiz – 1

Question 1

Time: 00:00:00
In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

63

63

90

90

126

126

45

45

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Question 2

Time: 00:00:00
In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?

4320

4320

2160

2160

720

720

120

120

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Question 3

Time: 00:00:00
In a cricket championship, there are 21 matches. If each team plays one match with every other team, the number of teams is

7

7

9

9

10

10

None of these

None of these

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Question 4

Time: 00:00:00
In an examination, a candidate is required to pass all five different subjects. The number of ways he can fail is:

32

32

31

31

30

30

29

29

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Question 5

Time: 00:00:00
In how many ways can a cricket eleven be chosen out of a batch of 15 players?

1365

1365

1160

1160

1465

1465

1560

1560

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Question 6

Time: 00:00:00
In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

63

63

90

90

126

126

45

45

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Question 7

Time: 00:00:00
A man has 9 friends: 4 boys and 5 girls. In how many ways can he invite them, if there has to be exactly 3 girls in the invitees?

320

320

160

160

80

80

200

200

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Question 8

Time: 00:00:00
24 persons shake hands with one another in a party. How many shake hands took place?

276

276

280

280

120

120

240

240

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Question 9

Time: 00:00:00
A teacher has to choose the maximum different groups of three students from a total of six students. Of these groups, in how many groups there will be included in a particular student?

6

6

8

8

10

10

12

12

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Question 10

Time: 00:00:00
There are seven pairs of black shoes and five pairs of white shoes. They are all put into a box and shoes are drawn one at a time. To ensure that at least one pair of black shoes are taken out, what is the number of shoes required to be drawn out?

12

12

13

13

7

7

18

18

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["0","40","60","80","100"]
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