SOLUTION: Powerball jackpot can be won by picking 5 numbers out of 59 numbers then also picking 1 powerball number from a seperate 39 numbers. The order of the first 5 numbers doesn't matter

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Question 240763: Powerball jackpot can be won by picking 5 numbers out of 59 numbers then also picking 1 powerball number from a seperate 39 numbers. The order of the first 5 numbers doesn't matter.
A. how many ways are there to pick the first five numbers?
B. How many ways are there to pick the powerball number?
C. How many ways are ther to pick all six numbers? ( the powerball number comes from a different set of numbers than the first five)
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Use:



to determine the number of things taken at a time.

For your first question, you need 59 things taken 5 at a time:



For your second question, you need 39 things taken 1 at a time:



Hint: for any ,



The answer to the third question is the sum of the first two answers.

You get to do your own arithmetic.


John