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permutations there are 6 students and 8 desks how many possible seating arrangements are there? i don't understand how to do it and it's not 8 times 6

 May 11, 2016

Best Answer 

 #1
avatar+37170 
+5

nPr ?     I am not sure about this one but  8  p 6  = 20160         Does that SEEM right?

 May 11, 2016
 #1
avatar+37170 
+5
Best Answer

nPr ?     I am not sure about this one but  8  p 6  = 20160         Does that SEEM right?

ElectricPavlov May 11, 2016
 #2
avatar+23254 
+5

Finding the number of seats that will remain empty is a combinations problem because the two empty seats are indistinguishable.

There are two seats that will remain empty. The number of places that this can occur is 8C2  =  28.

 

Placing the students is a permutations problem because, in this case, order is important.

6P6  =  720.

 

Putting these two answers together:  28 x 720  =  20,160 ways.

 May 11, 2016
 #3
avatar+37170 
0

Thanx!   Geno.....

ElectricPavlov  May 11, 2016

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