SOLUTION: A 5 digit number is generated by rolling one red die 5 times. How many different numbers are generated? How many different numbers have exactly two 1's?

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Question 1080401: A 5 digit number is generated by rolling one red die 5 times.
How many different numbers are generated?
How many different numbers have exactly two 1's?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
6 numbers are possible.
N=6%2A6%2A6%2A6%2A6=6%5E5=7776
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Look at the possible 11 configurations,
11xxx
1x1xx
1xx1x
1xxx1
X11xx
x1x1x
x1xx1
xx11x
xx1x1
xxx11
There are 10 of them.
So for each of them they can range from 2 to 6.
So for each 10 there are N=5%2A5%2A5=125 possible permutations.
Which makes for a total of,
N%281%2C1%29=1250