SAT Math › How to find the greatest or least number of combinations
Shannon decided to go to nearby café for lunch. She can have a sandwich made on either wheat or white bread. The café offers cheddar, Swiss, and American for cheese choices. For meat, Shannon can choose ham, turkey, bologna, roast beef, or salami. How many cheese and meat sandwich options does Shannon have to choose from?
An ice cream parlor serves 36 ice cream flavors. You can order any flavor in a small, medium or large and can choose between a waffle cone and a cup. How many possible combinations could you possibly order?
If a series of license plates is to be produced that all have the same pattern of three letters followed by three numbers, roughly how many alphanumeric combinations are possible?
A baker has four different types of frosting, three different kinds of sprinkles, and 8 different cookie cutters. How many different cookie combinations can the baker create if each cookie has one type of frosting and one type of sprinkle?
Gihani has six clean shirt and four pairs of pants to choose from. How many possible combinations of outfits can she make with these items?
Refer to the above diagram.
How many different routes can be drawn that begin at Point A, then pass through, in order, Points B, C, A, B, C, and back to A, if no path between two points can be traveled twice?
8 people locked in a room take turns holding hands with each person only once. How many hand holdings take place?
Refer to the above diagram.
How many ways can a route be drawn that goes from Point A, to Point B, to Point C, then point A again, in that order?
Refer to the above diagram.
How many ways can a route be drawn that goes from Point A, through Point B, to Point C, then back through Point B, and back to Point A? Any path between points can be taken twice.
Mark has 5 pants and 7 shirts in his closet. He wants to wear a different pant/shirt combination each day without buying new clothes for as long as he can. How many weeks can he do this for?