The players for district football team are selected from three different…
2024
The players for district football team are selected from three different colleges and each college has 5 top players . Except captain and goalkeeper , each 3 are selected from each 3 colleges . Find the number of possible ways of such selection .
- A.
1000
- B.
1500
- C.
4500
- D.
3000
Attempted by 4 students.
Show answer & explanation
Correct answer: A
Answer: 1000
Explanation:
From each college there are 5 players and we need to select 3. The number of ways to choose 3 from 5 is C(5,3) = 10.
Selections from the three colleges are independent, so multiply the counts for each college: 10 × 10 × 10 = 1000.
Therefore the total number of possible selections is 1000.