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?

Guest Jun 26, 2020

#1**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

thelizzybeth Jun 26, 2020