SOLUTION: Hello, I am needing help for the following question. It would help if I could see how to set it up and eventually get the answer. I have a list of 11 chores to do over the wee

Algebra ->  Probability-and-statistics -> SOLUTION: Hello, I am needing help for the following question. It would help if I could see how to set it up and eventually get the answer. I have a list of 11 chores to do over the wee      Log On


   

Question 964244: Hello, I am needing help for the following question. It would help if I could see how to set it up and eventually get the answer.
I have a list of 11 chores to do over the weekend. Unfortunately, there is only enough time to get 4 of them done before Monday. How many different ways can you complete the chores?
Thank you
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
There are 11 choices for the first chore to be done.
For each one of those choices, you have 11-1=10 ways to choose your second chore.
That means there are 11%2A10=110 ways to choose your first and second chores.
After each of those 110 possible choices, there are 11-2=9 chores left,
so there are 9 ways to choose your third chore.
That gives you 11%2A10%2A9=990 ways to choose how to complete 3 chores.
Then, after the first 3 chores are chosen, there are 11-3=8 chores left,
so in each case there will be 8 choices for the fourth and last chore.
All in all there are
11%2A10%2A9%2A8=highlight%287920%29 ways to complete 4 of the 11 chores.