+0  
 
0
2528
1
avatar

How many ways are there to put 5 b***s in 2 boxes if the b***s are distinguishable but the boxes are not?

 Apr 1, 2015

Best Answer 

 #1
avatar+118612 
+5

How many ways are there to put 5 b***s in 2 boxes if the b***s are distinguishable but the boxes are not?

B***s different,  boxes are the same.

5,0          1ways

4,1           5ways

3,2           5C2 =  $${\left({\frac{{\mathtt{5}}{!}}{{\mathtt{2}}{!}{\mathtt{\,\times\,}}({\mathtt{5}}{\mathtt{\,-\,}}{\mathtt{2}}){!}}}\right)} = {\mathtt{10}}$$      ways

 

16 ways maybe

 Apr 1, 2015
 #1
avatar+118612 
+5
Best Answer

How many ways are there to put 5 b***s in 2 boxes if the b***s are distinguishable but the boxes are not?

B***s different,  boxes are the same.

5,0          1ways

4,1           5ways

3,2           5C2 =  $${\left({\frac{{\mathtt{5}}{!}}{{\mathtt{2}}{!}{\mathtt{\,\times\,}}({\mathtt{5}}{\mathtt{\,-\,}}{\mathtt{2}}){!}}}\right)} = {\mathtt{10}}$$      ways

 

16 ways maybe

Melody Apr 1, 2015

3 Online Users

avatar