Sally has 5 red flags, 3 green flags, and 2 white flags. How many 10-flag signals can she run up a flag pole? Please don't just write me the number of flag signals... show me how you calculate it... I mean the equations, so that I understand.
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There are ten spots where you can put a white flag. 10
There are nine spots where you can put a second white flag. 9
There are eight spots where you can put a green flag. 8
Likewise --- 7
Likewise --- 6
There is only one way to fill the remaining spots with red flags.
Total: 10 x 9 x 8 x 7 x 6 = 30,240
There are nine spots where you can put a second white flag. 9
There are eight spots where you can put a green flag. 8
Likewise --- 7
Likewise --- 6
There is only one way to fill the remaining spots with red flags.
Total: 10 x 9 x 8 x 7 x 6 = 30,240