Question

For football the KLAA south division has 6 teams. Find the number of different ways that first, second and third place can be decided. NO LINKS!!!​

Answer 1

20 ways

Step-by-step explanation:

by using combination rule :

6C3 = 6! /(3! × 3!)

= 6×5×4×3! / 3! × 3×2×1

= 20 ways

Answer 2

Answer: 120

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Step-by-step explanation:

Order matters because we want to distinguish between first place, second place, and third place winners. So something like ABC is different from BCA.

We have 6 ways to pick a first place winner, then 5 for second place, then 4 for third place. Overall, there are 6*5*4 = 30*4 = 120 permutations

You could use the nPr formula with n = 6 and r = 3 as an alternative method

`_n P _r = (n!)/((n-r)!)`

The exclamation marks indicate a factorial.