A lottery exists where balls numbered 1 to 17 are placed in an urn. to win, you must match 6 balls chosen in the correct order, how many possible outcomes are there for this game

Question

Mathematics

Kasey Griffith

20 February, 01:25

A lottery exists where balls numbered 1 to 17 are placed in an urn. to win, you must match 6 balls chosen in the correct order, how many possible outcomes are there for this game

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Ignacio · Answer 1

There are 17 possible choices for the first ball, 16 possible choices for the second and so on ... until 6 balls are chosen. Multiply the number of choices together.

17*16*15*14*13*12 = 8,910,720

This is also what's called a permutation, 17 choose 6

In permutations order matters so (1,2,3) is not the same as (3,2,1).