Five friends A, B, C, D, and E go on a trip together. Each of them likes at least one of the following three activities: Countryside Sightseeing, Shopping, and Adventure Sports such that: - No two…
Question and options
Five friends A, B, C, D, and E go on a trip together. Each of them likes at least one of the following three activities: Countryside Sightseeing, Shopping, and Adventure Sports such that:
- No two friends like exactly the same set of activities.
- A, B and E like exactly two activities each.
- D likes only Countryside Sightseeing.
- C likes more number of activities compared to D.
The number of ways in which a pair of friends can be chosen for a trip from those who like Adventure Sports is __________
- No two friends like exactly the same set of activities.
- A, B and E like exactly two activities each.
- D likes only Countryside Sightseeing.
- C likes more number of activities compared to D.
The number of ways in which a pair of friends can be chosen for a trip from those who like Adventure Sports is __________
- 6
- 3
- 10
- 1
Answer and explanation
Correct answer: B - 3
There are eligible pairs. A, B and E cover all three two-activity sets, two of which include Adventure Sports, and C must like all three activities. That gives unordered pairs from the three eligible friends. Counting each pair in both orders gives .
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IPMAT Indore
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