In IPL 2021 there will be 9 teams. If like the IPL 2020, all teams play with all other  teams twice, then what will be the number of league matches in all?

In IPL 2021 there will be 9 teams. If like the IPL 2020, all teams play with all other  teams twice, then what will be the number of league matches in all? Correct Answer 72

Given:

The total team is nine

Calculation:

Let be assume teams is a, b, c, d, e, f, g, h, and i

⇒ For team a = 2 × {(a, b) (a, c), (a, d) (a, e) (a, f) (a, g) (a, h) (a, i)} = 2 × 8 = 16

⇒ For team b = 16 - 2 = 14

⇒ For team c = 16 - 4 = 12

⇒ For team d = 16 - 6 = 10

⇒ For team e = 16 - 8 = 8

⇒ For team f = 16 - 10 = 6

⇒ For team g = 16 - 12 = 4

⇒ For team h = 16 - 14 = 2

⇒ For team i = 16 - 16 = 0

⇒ The total match = 16 + 14 + 12 + 10 + 8 + 6 + 4 + 2 + 0 = 72

∴ The required result will be 72.

Shortcut Method

⇒ n = 9

⇒ The total leag match = n × (n - 1) = 9 × 8 = 72.