From 32 students, 4 will be chosen for an academic challenge team. We are asked to find the number of ways in which this can be done. Since the order of choosing the students 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 32 students and 4 of them will be chosen. Let's substitute n= 32 and r= 4 into the formula.
