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28 Jan 2022, 09:15
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C
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Difficulty:
95%
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Question Stats:
19% (01:49) correct
81%
(02:22)
wrong
based on 52
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Students in a certain class are about to participate in debate teams, which are composed of 3 students each. How many different combinations are possible, if there are 9 students in the class, and the only married couple in the class must be on the same team?
A. 10
B. 42
C. 70
D. 140
E. 1,680
Are You Up For the Challenge: 700 Level Questions
A. 10
B. 42
C. 70
D. 140
E. 1,680
Are You Up For the Challenge: 700 Level Questions
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28 Jan 2022, 10:51
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Married couple goes on one team. 7 ways to fill the remaining slot.
6!/3!3!= 20 ways to fill the next team
1 way for the remaining 3 to fill out the third team.
Divide by 2 because the only team distinction that matters is the one with the married couple.
7*20/2 = 70
Posted from my mobile device
6!/3!3!= 20 ways to fill the next team
1 way for the remaining 3 to fill out the third team.
Divide by 2 because the only team distinction that matters is the one with the married couple.
7*20/2 = 70
Posted from my mobile device
29 Jan 2022, 22:07
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Bunuel
There are 9 students. Team consists of 3 students.Total number of teams =9/3=3
One teamwill have a couple. So selecting this team means selecting the couple and one more guy. Since the couple is already selected, we need one more guy. This can be done in 7 ways
Now, Six students are remaining. No. of ways of Selecting another team of three = 6C3
Now, 3 students are remaining. No. of ways of Selecting another team of three = 3C3
Total Number of ways = 7x6C3x3C3 =140
Ans. D
