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How can i do like 16!/4!12! ??? and can teach the rule ?
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This is a combination. 16c12 to be exact.
\(\Large \color{Black}{\Rightarrow 16c12 = {16! \over (16 - 12)! \times 12!} }\)
then it will 1/12!x12! ????
Umm no
\(\Large \color{Black}{\Rightarrow {16 \times 15 \times 14 \times 13 \over4!} }\)
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I have cancelled 12! out of the scenario
\(\Large \color{Black}{\Rightarrow {16 \times 15 \times 14 \times 13 \over 4 \times 3 \times 2} }\)
question if 4! then 4x3x2????
and if 16! 16x15x14x13x12x11x10....x2 like this???
yes. n! = n*(n-1)*(n-2)*...*1 so 4!= 4*3*2*1 to evaluate your 16!/(4! 12!) expand and then divide out
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