You have 6 Scrabble tiles with different letters of the alphabet in a bag. If you select 3 tiles, how many distinct sequences can you form if the order matters?

1 Answer
Will
Jul 13, 2016

#120#

Explanation:

if the order matters then this is a permutation problem thus our formula becomes.

#(n!)/((n-k)!)#

Regardless of what 6 tiles you have you only have 6 and these don't change, now we plug in and solve

#(6!)/((6-3)!)=120#

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