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In how many ways that the 5 students can get out in the building with 8 exits? (Should I use permutation or combination?)

 Sep 4, 2016
 #1
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In how many ways that the 5 students can get out in the building with 8 exits? (Should I use permutation or combination?)

 

Neither

 

8*8*8*8*8 = 8^5

 

Each student has 8 exit possibilities.

 

8^5 = 32768

 Sep 4, 2016
 #2
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Label the exits as A,B,C,D,E,F,G,H

 

Then.....this just consists of choosing all possible combinations of any of the five exits out of the eight.....

 

And   8C5 = 56 different ways

 

 

cool cool cool

 Sep 4, 2016
 #3
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^Thanks :)

 Sep 4, 2016
 #4
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But Chris

You have assumed that they all leave by different exits.

Why would you assume that?

 Sep 4, 2016
 #5
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CPhill: There are 5 kids and each one has a choice of 8 exits!!. That makes 8 x 8 x 8 x 8 x 8=8^5

 Sep 4, 2016

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