19!/(12)!7!
Can you also break it down for me in full i really want to understand this.
Thanks
+118628 This is 19C12 or 19C7 they are equal
nCr(19,12) = 50388
\(^{19}C_{12} \;=\;\frac{19!}{12!\;7!}\;\\~\\ 19!=1*2*3*4*5*6*7*8*9*10*11*12*13*14*15*16*17*18*19\\\quad=12!*13*14*15*16*17*18*19\\~\\ ^{19}C_{12} \;=\;\frac{19!}{12!\;7!}\;\\~\\ \qquad =\;\frac{12!\;\;*13*14*15*16*17*18*19}{12!\;7!}\;\\~\\ \qquad =\;\frac{13*14*15*16*17*18*19}{7!}\;\\~\\ \qquad =\;\frac{13*14*15*16*17*18*19}{1*2*3*4*5*6*7}\;\\~\\ \qquad =\;\frac{13*3*4*17*19}{1}\;\\~\\ \qquad =\;\:13*3*4*17*19\;\\~\\ \)
13*3*4*17*19 = 50388
If you have questions then make sure that you ask. :)
