Question 1161764: Sally has 4 red flags, 3 green flags, and 4 white flags. How many 11-flags signals can she run up a flag pole?(Tutor: I do not know how to type r1 where the 1 is lower than the 'r' as in subscript position. Not written as a fraction.
The formula is. Since there is more than one of each color flag, use the rule for calculating the permutation of like objects. If a set contains n elements, r1 of which are one kind, r2 are of another kind, and so on through rk , then the number of different arrangements of all n elements is equal to n!/r1! x r2! x r3! x...x rk! (tutor: the 'k' is suppose to be in a lower position to the 'r'. In a subscript position. Also, the 'x' in the formula is for multiplication.)
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
Since you explained your notation, no problem. However, in the future, use the underscore character to indicate a subscript:
r_1 in plain text means  . If the subscript consists of more than one character, enclose the entire subscript in curly braces because r_11 means  but r_{11} means  . Please do not use x to indicate multiplication. Use parentheses: (r_1!)(r_2!)...(r_k!) or the asterisk character r_1! * r_2! * ... * r_k!.
So your  ,  ,  , and 
and your formula is:
You can eliminate some like factors from the numerator and all of the denominator factors. Then multiply out what is left. If you do the arithmetic correctly you should get an answer somewhere between 11,000 and 12,000
John
My calculator said it, I believe it, that settles it
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