Paige is choosing between 10 books in a library. We are asked about the probability that she selects 3 particular books. First, we will find the number of possible ways she can select 3 books. Since the order of choosing the books does not matter, we will use combinations.
Combinations
The number of n distinct objects taken r at a time is denoted _nC_r and can be calculated using the following formula.
_nC_r=n!/( n- r)! r!
In total, there are 10 books and Paige is choosing 3 of them. Let's substitute n= 10 and r= 3 into the formula.
Paige can select 3 books in 120 different ways. Therefore, the probability that she chooses one specific combination of the books is 1 divided by 120.
Probability=1/120
