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Answer (B) $10$

We have to select number of ways of choosing $2$ teams out of $5 = {}^5C_2 = 10.$

We can also do like follows:

- Team 1: Can pick another team in $4$ ways
- Team 2: Can pick another team (excluding team 1) in $3$ ways
- Team 3: Can pick other teams in $2$ ways
- Teams $4$ and $5$ can play in $1$ way
- So, totally, $4+3+2+1 = 10$ ways.

How many matches will have to be held to complete the league round of matches?

I interpreted this line as total number of matches to be palyed in the whole tournament....it gives 5C2 + 4C2 + 3C2 + 2C2 = 10 + 6 + 3 + 1 = 20..

In Many questions interpretation is more tricky then actually solving the question..

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