- #1
resurgance2001
- 197
- 9
Homework Statement
There are 15 members of a maths club. There are 4 different medals to be randomly given to the members of the club. What is the probability that no member will receive more than one of the medals.
Homework Equations
Try to find the number of combinations where no member receives more than 1 medal and divide by the total number of ways the medals can be distributed.
The total number of ways the medals can be distributed is 15^4 = 50625. Use nCr. Or nPr but really not sure
The Attempt at a Solution
I have the answer from the mark scheme is (15 x 14 x 14 x 12)/15^4
I just don't understand though how this answer was derived. I have tried experimenting with smaller numbers on paper but can't for the life of me figure it out and have not been able to find any similar questions in the textbook or online.