Answer:
They can do so in 252 ways.
Step-by-step explanation:
The order in which the books are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
5 books from a set of 10. So
[tex]C_{10,5} = \frac{10!}{5!(10-5)!} = 252[/tex]
They can do so in 252 ways.
Answer:
∴ Number of ways to select 5 books from 10 books for adoption is 252 .
Step-by-step explanation:
A Permutation is an ordered Combination. When the order does matter it is a Permutation. There are basically two types of permutation:
Formula is given by:
[tex]nC_r= \frac{n!}{r! (n-r)!}[/tex], where n is the number of things to choose from, and we choose r of them, no repetitions, order matters. Here , n=10 , r=5.
⇒ [tex]10C_5 = \frac{10!}{5!(10-5)!}[/tex]
⇒ [tex]10C_5 = \frac{10!}{5!(5)!}[/tex]
⇒ [tex]10C_5 = 252[/tex]
∴ Number of ways to select 5 books from 10 books for adoption is 252 .
