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If no one shares an office, in how many ways can 3 people be assigned to 5 different offices? (Each person gets exactly one office).

 

do not give answer i want to be able to do some of the math if  do give answer at least give an good explanation

 Apr 1, 2020

Best Answer 

 #5
avatar+4599 
+1

Is it P(5,3)=60 ways.

 Apr 1, 2020
 #1
avatar+112111 
+1

We  have  5 offices  and  we  want  to  choose any 3 of them....so

 

C(5,3)  =  10  ways  to do this

 

This is the  same  as  taking any set  of  three elements  from 5 =  10 sets

 

 

cool cool cool

 Apr 1, 2020
 #5
avatar+4599 
+1
Best Answer

Is it P(5,3)=60 ways.

tertre Apr 1, 2020
 #6
avatar+112111 
0

Ah....thanks, tertre....I forgot  that  we  need to consider  the people as well as the  offices.....thanks for the correct answer  !!!!

 

 

cool cool cool

CPhill  Apr 1, 2020
 #8
avatar+663 
+2

People are unique! Don't forget that CPhill laugh.

 #9
avatar+4599 
+1

No problem.......!  I also often feel confused about whether to use the which one....

tertre  Apr 1, 2020
 #10
avatar+112111 
0

Yeah.......I realized  that  when I saw tertre's answer......

 

 

cool cool cool

CPhill  Apr 1, 2020
 #11
avatar+202 
0

You have asked this question before and I have answered it.

 Apr 1, 2020

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