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How many ways can 10 students be seated in a room with 13 chairs?

How many ways can 10 students be seated in a room with 13 chairs?
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How many ways can 10 students be seated in a room with 13 chairs?

User Holmeswatson
by
8.1k points

1 Answer

7 votes
Use combination to solve it
13C10 =
(13!)/(10! * (13-10)!)
13C10 =
(13 * 12 * 11 * 10!)/(10! * 3!)
13C10 =
(13 * 12 * 11)/(3!)
13C10 =
(13 * 12 * 11)/(3 * 2 * 1)
13C10 =
(1716)/(6)
13C10 = 286
There are 286 ways
User Thijsfranck
by
7.9k points
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