DETERMINE THE NUMBER OF SETS OF ALL POSSIBLE RANDOM SAMPLES THAT CAN BE DRAWN FROM THE GIVEN POPULATION BY USING THE FORMULA, NCn.
N = 10, n = 3
The number of possible samples which can be selected without replacement is
NCn=N!n!⋅(N−n)!;_NC_n=\cfrac{N! } {n! \cdot(N-n)! };NCn=n!⋅(N−n)!N!;
10C3=10!3!⋅(10−3)!=8⋅9⋅102⋅3=120._{10}C_3=\cfrac{10! } {3! \cdot(10-3)! }=\cfrac{8\cdot9\cdot10}{2\cdot3}=120.10C3=3!⋅(10−3)!10!=2⋅38⋅9⋅10=120.
Need a fast expert's response?
and get a quick answer at the best price
for any assignment or question with DETAILED EXPLANATIONS!
Comments
Leave a comment