The number of ways that Grant can arrange 3 of his 10 plants on a window ledge is 120 ways
The number of ways that Grant can arrange 3 of his 10 plants on a window ledge will be:
= 10!/(10! - 3!)3!
= 10!/7!3!
= (10 Ă— 9 Ă— 8)/(3 Ă— 2)
= 120
When the parade organizer received 8 entries for floats, the number of ways that he can arrange 4 floats out of the 8 entries will be:
= 8!/(8! - 4!)4!.
= 8!/4!4!
= (8 Ă— 7 Ă— 6 Ă— 5)/(4 Ă— 3 Ă— 2)
= 70
4! in expanded form will be:
= 4 Ă— 3 Ă— 2
= 24
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