+0  
 
0
79
1
avatar

Sri and Godfrey are marooned on a desert island.

Together, they have a toothbrush, a calculator, a volleyball, an mp3 player, a kite, and a shovel.

They decide to distribute these objects randomly among themselves. However, they agree that each person should get at least one object.

How many ways can the objects be distributed among Sri and Godfrey?

 Jun 26, 2020
 #1
avatar+307 
0

They each need to have at least one object. There are \({6 \choose 2}=15\) different ways for this to happen. 

Now, we see the different cases for the remaining 4 objects.

Sri   Godfrey

4          0        = \({4 \choose 4}=1\)

0          4        = (same as above) = 1

3          1        = \({4 \choose 3}=4\)

1          3        = (same as above) = 4

2          2        = \({4 \choose 2}=6\)

Total Cases: 16

 

Now we multiply 15*16 = 240 ways

 Jun 26, 2020

11 Online Users

avatar