There are 16 cricket teams then number of matches played when each team plays…
2025
There are 16 cricket teams then number of matches played when each team plays each other once .
- A.
120
- B.
160
- C.
210
- D.
240
Attempted by 29 students.
Show answer & explanation
Correct answer: A
Answer: 120
Explanation: Each match pairs two different teams and the order of teams does not matter (team A vs team B is the same match as team B vs team A). Therefore count the number of unordered pairs of teams.
Step 1: Use the combination formula to choose 2 teams out of 16: C(16, 2).
Step 2: Compute C(16, 2) = 16 × 15 ÷ (2 × 1) = 120.
Therefore, when each of the 16 teams plays every other team once, the total number of matches is 120.