8. There are seven children to be lined up in a straight line for a photograph a

Question

8. There are seven children to be lined up in a straight line for a photograph a) How many different ways are possible? b) How many different ways are possible if sally must be in the middle? c) How many different ways are possible if Ahmed is on the far left? d) How many different ways are possible if Hannah and Brian must be together? 9. A 12 set encyclopedia is to be arranged on a shelf. How many incorrect arrangements are possible? the man person? video store has 27 new release movie posters. How many ways can e sonnager choose 8 for a promotion that gives them away to the same 4

Explanation / Answer

Solution:-
8)

a) 7! =7*6*5*4*3*2*1 = 5040

b) 6! = 6*5*4*3*2*1 = 720. The other 6 may be chosen to fill the other spots.

c) 6! = 720

d) 6! X 2! = 720 * 2 = 1440

9) 12! – 1

10)27C8 = 2220075

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