All GRE Math Resources
Example Questions
Example Question #43 : Permutation / Combination
Bryant is purchasing basketballs from the basketball store. If he is purchasing three basketballs and there are seven basketballs to choose from, how many different combinations of basketballs can he buy?
Since in this problem the order of selection does not matter, we're dealing with combinations.
With selections made from potential options, the total number of possible combinations is
Since Bryant is buying three basketballs from a selection of seven, the number of possible combinations is
Example Question #41 : Permutation / Combination
At a restaurant there is a choice of ten entrees and six potential sides. If an entree comes with two unique sides, how many different dinner options are possible?
Since in this problem the order of selection does not matter, we're dealing with combinations.
With selections made from potential options, the total number of possible combinations is
One option is chosen from the ten entrees, so the number of entree combinations is
Two options are chosen from the six sides, so the number of side combinations is
The total number of combinations is the product of these individual results: