How many ways can Grant arrange 3 of his 10 plants on a window ledge?

Answer 1

The number of ways to arrange 3 plants out of 10 is given by the combination formula: nCr = n! / (r!(n-r)!), where n is the total number of plants (10), and r is the number of plants to be arranged (3).

Plugging in the values, we get:

10C3 = 10! / (3!(10-3)!)
= 10! / (3!7!)
= (10 * 9 * 8 * 7!) / (3! * 7!)
= (10 * 9 * 8) / (3 * 2)
= 10 * 3 * 4
= 120

Therefore, there are 120 ways that Grant can arrange 3 of his 10 plants on the window ledge.