Answer:
715
Step-by-step explanation:
What we must do is apply the concept of combinations, which is the following formula:
nCr = n! / r! * (n - r)!
Where 'n' represents the number of elements available and 'r' represents the number of elements chosen.
In this case, n equals 13 and r equals 4.
replacing in the formula:
13C4 = 13! / 4! * (13 - 4)!
13C4 = 13! / (4! * 9!)
13C4 = 715
Answer:
Number of selections she can make = 715
Step-by-step explanation:
Number of bags she must supply = 4
Number of varieties = 13
Number of selections = [tex]13C4[/tex]
[tex]nCr = \frac{n!}{(n-r)!r!}[/tex]
[tex]13C4 = \frac{13!}{(13-4)!4!} \\13C4 = \frac{13!}{9!4!} \\13C4 = \frac{13*12*11*10}{4*3*2*1} \\13C4 = 13 * 11 * 5 \\13C4 = 715[/tex]
Number of selections she can make = 715
