a group of 7 basketball players are sitting on the bench during half time. How many possible ways can they be arranged?

Question

hero · Answer

The players can be arranged 7! ways:
$$7! = (7)(6)(5)(4)(3)(2)(1)$$Multiply to find the exact number of ways.

anonymous · Answer

that is 49 right?

hero · Answer

There's no way you get 49 from multiplying all those numbers. It'll be much higher.

anonymous · Answer

okay. i got it now. there is infinitely many ways to arrange the players!

hero · Answer

How did you arrive at that answer?

anonymous · Answer

because i multiplied 1,2,3,4,5,6,7 by 7 and it was way too many.. am i correct? im trying..

hero · Answer

Just because it is more than you expect, that doesn't mean it isn't the exact answer.

anonymous · Answer

my choices are a.49 b.5040 c.497 d.infinitely many ways

hero · Answer

Have you tried actually multiplying the numbers yet?

hero · Answer

In order for there to be infinitely many ways, there would have to be infinitely many players, but there are only seven players.

anonymous · Answer

b.5040

hero · Answer

:)

anonymous · Answer

thank you so much! so helpful:)