Answer: 5006386
Step-by-step explanation:
Given : The total numbers in California Lottery from 1 through 59 = 59
The numbers need to select = 5
We know that the number of combination of n things taken r at a time is given by :-
[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
Now, the number of combination of 59 things taken 5 at a time is given by :-
[tex]^{59}C_5=\dfrac{59!}{5!(59-5)!}\\\\=\dfrac{59\times58\times57\times56\times55\times54!}{(120)54!}\\\\=5006386[/tex]
Hence, the number of combination of 59 things taken 5 at a time is =5006386
