Question 1161764
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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 *[tex \Large r_1]. If the subscript consists of more than one character, enclose the entire subscript in curly braces because r_11 means *[tex \Large r_11] but r_{11} means *[tex \Large r_{11}].  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 *[tex \Large n\ =\ 11], *[tex \Large r_1\ =\ 4], *[tex \Large r_2\  =\ 3], and *[tex \Large r_3\ =\ 4]


and your formula is:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ P\ =\ \frac{n!}{r_1!\,\cdot\,r_2!\,\cdot\,r_3!}\ =\ \frac{11\,\cdot\,10\,\cdot\,9\,\cdot\,8\,\cdot\,7\,\cdot\,6\,\cdot\,5\,\cdot\,4\,\cdot\,3\,\cdot\,2}{4\,\cdot\,3\,\cdot\,2\,\cdot\,3\,\cdot\,2\,\cdot\,4\,\cdot\,3\,\cdot\,2}]


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
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
<img src="http://c0rk.blogs.com/gr0undzer0/darwin-fish.jpg">
*[tex \Large \ \
*[tex \LARGE \ \ \ \ \ \ \ \ \ \  
								
{{n}\choose{r}}
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