An art gallery has 8 new paintings, all the same size, but enough room on the wall for only 6 of them.

How many ways can the director arrange the 8 paintings on the wall?

A.
48

B.
28

C.
20,160

D.
40,320

Question

An art gallery has 8 new paintings, all the same size, but enough room on the wall for only 6 of them.

 

How many ways can the director arrange the 8 paintings on the wall?
	
	
 
A.
	48
	
 
B.
	28
	
 
C.
	20,160
	
 
D.
	40,320

anonymous · Answer

C? @peachpi

anonymous · Answer

I think so. You did 8P6?

anonymous · Answer

yea and one sec let me try to explain what i think

anonymous · Answer

8! / 6!*(8-6)! = 28 So there are 28 ways in which 6 paintings may be chosen from 8. Each of those 28 can be arranged in 6*5*4*3*2 (720) ways. So the total number of arrangements is 28 * 720 20,160 answer is C

anonymous · Answer

solid :)
seems like you have this down!

anonymous · Answer

i just needed to be sure thanks. :DD

anonymous · Answer

np