There are five visiting places in a city and can visit at most 3 places on a…
2023
There are five visiting places in a city and can visit at most 3 places on a day. Find the number of ways in which a visitor can visit these places in a day.
Answer: B. 25 — Interpretation: We count the number of ways to visit at most 3 places out of 5. The available answer choices indicate that order does not matter, so use…
- A.
20
- B.
25
- C.
10
- D.
30
Attempted by 39 students.
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Correct answer: B
Interpretation: We count the number of ways to visit at most 3 places out of 5. The available answer choices indicate that order does not matter, so use combinations.
Formula: Number of ways to choose r places from 5 is C(5,r) = 5! / (r!(5−r)!).
Exactly 1 place: C(5,1) = 5
Exactly 2 places: C(5,2) = 10
Exactly 3 places: C(5,3) = 10
Total ways = 5 + 10 + 10 = 25.
Answer: 25
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