Question

in a cricket championship,there are 21 matches.if each team plays one match with every other team.then the number of teams are?​

Answer 1

Answer:

Suppose there are nn teams, call them Team 1,…,n1,…,n. Now Team 11 plays Team 2,…,n2,…,n (total of (n−1)(n−1) matches), Team 22 plays Team 3,...,n3,...,n (total of (n−2)(n−2) matches), and so on. So the total number of matches is (n−1)+(n−2)+…+1=21(n−1)+(n−2)+…+1=21.

2121 is a small number and in this case you can see that since 1+2+3+4+5+6=211+2+3+4+5+6=21, we have n=7n=7.

Step-by-step explanation:

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