Asked by Mary
jack has flags for 4 different football teams. he wants to hang the flags in a straight line on his bedroom wall. in how many different ways could jack hang the 4 flags?
I came up with 16. 4*4=16
But 16 is not in the answer choice.
Answer choices are- 24,12,8,4
My second guess on 24. I don’t know how to get 24.
Plz help. Thank you
I came up with 16. 4*4=16
But 16 is not in the answer choice.
Answer choices are- 24,12,8,4
My second guess on 24. I don’t know how to get 24.
Plz help. Thank you
Answers
Answered by
Ms. Sue
Let's experiment. We'll call the flags A, B, C, D.
A B C D
A B D C
A C D B
A C B D
A D B C
A D C B
Keep going
A B C D
A B D C
A C D B
A C B D
A D B C
A D C B
Keep going
Answered by
Reiny
The first place can be filled by 4 different flags,
leaving 3 flags that go go in the second spot,
leaving 2 flags that can go in the third spot,
leaving you with 1 flag for the last spot,
so, the number of ways = 4*3*2*1 = 4! = 24
leaving 3 flags that go go in the second spot,
leaving 2 flags that can go in the third spot,
leaving you with 1 flag for the last spot,
so, the number of ways = 4*3*2*1 = 4! = 24
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