Wiley Edge Permutations and Combination Quiz-4

Question 1

Time: 00:00:00
In how many ways can 6 identical magenta balls and 4 identical pink balls be arranged in a row such that no two pink balls are adjacent?

45

45

12

12

35

35

21

21

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Question 2

Time: 00:00:00
How many different 3-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6, and 7 without repetition, if the number must be odd?

60

60

84

84

168

168

120

120

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Question 3

Time: 00:00:00
A committee of 3 people is to be selected from a group of 6 men and 4 women. If the committee must have at least one man, how many different committees can be formed?

84

84

116

116

120

120

118

118

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Question 4

Time: 00:00:00
In how many ways can the digits 1, 2, 3, 4, 5, 6, 7, 8, and 9 be arranged to form a 9-digit number such that odd digits occupy odd positions and even digits occupy even positions?

2,880

2,880

2,960

2,960

3,240

3,240

4,320

4,320

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Question 5

Time: 00:00:00
A committee of 5 people is to be selected from a group of 8 men and 6 women. If the committee must have at least 3 men, how many different committees can be formed?

1,316

1,316

2,360

2,360

3,260

3,260

4,040

4,040

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Question 6

Time: 00:00:00
A group of 6 students, including Alice and Bob, is being seated in a row. In how many ways can the 6 students be arranged if Alice and Bob must sit next to each other, but Alice must be on the left side of Bob?

60

60

300

300

240

240

120

120

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Question 7

Time: 00:00:00
In how many ways can 3 identical red balls, 4 identical blue balls, and 2 identical green balls be arranged in a row?

840

840

1260

1260

1680

1680

2520

2520

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Question 8

Time: 00:00:00
A group of 8 friends is planning to sit around a circular table. In how many ways can they arrange themselves if Alice and Bob insist on sitting next to each other, but Alice must be seated to the right of Bob?

540

540

240

240

360

360

720

720

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Question 9

Time: 00:00:00
In a deck of 52 playing cards, how many different 4-card hands can be dealt if the hand must contain at least 2 aces and 2 kings?

84

84

18

18

44

44

52

52

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Question 10

Time: 00:00:00
A committee of 5 people is to be selected from a group of 10 men and 7 women. If the committee must have at least 3 men, how many different committees can be formed?

2,560

2,560

4,850

4,850

4,242

4,242

5,280

5,280

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