Number of ways in which the 3 can be selected from 13 = 286
Step-by-step explanation:
Step 1:
Number of books considered by the textbook search committee = 13
Number of books selected from this 13 = 3
We need to determine number of ways in which the 3 can be selected from the 13
Step 2 :
The order of the 3 books selected does not matter. So,
Number of ways in which the 3 books can be selected from 13 books = C(13,3) = [tex]\frac{13!}{10! . 3!}[/tex]
=[tex]\frac{ 13 . 12 .11 . 10!}{10! . 3! }[/tex]
=[tex]\frac{1716}{6}[/tex] = 286
Step 3 :
Answer :
Number of ways in which the 3 can be selected from 13 = 286
