There are 5 students in the math club, and 3 students will be selected to compete in the math contest. How many different combinations of students are possible?
Naming these students 1,2,3,4, and 5, these are all of the posible combinations, if you only use the same three students once.
123
124
125
134
135
145
234
235
245
345
So, as I said not repeating three students there are 10 combinations total.
Combination: A set of objects in which position (or order) is NOT important.=nCr=5C3=10
