en two sets: A and B. A has 8 elements. B has 9 elements. A and B share 4 elements. How many elements are there in total?

Jack, Anny and Bella were elected as Executive Officers in their organization. They will be appointed to the posts of Chairman, Treasurer, and Secretary. Since Anis has already been the Secretary for four terms, he is ineligible for the Secretary post. How many possible formations of the posts are there?

A new-custom made sweater is made by choosing the color, the material, whether or not the sweater will have a crew or v-neck, and whether or not the sweater will have decorations. If there are 7 colors available and 3 types of materials, how many different sweaters are possible? 35

ieah has 3 apples jack has 9 how many more does leahs best friend jack have then leah

four people are tkaing a road trip. two sit in the front seat and two sit in the back seat. three of the people agree to share the driving. in how many different arrangement can the four people sit?

A pizza restaurant is offering a promotion in which you can order a large pizza and your choice of a side or a bottle of soda (but not both a side and a bottle of soda).  There are 5 pizza choices, 7 sides, and 11 kinds of soda.  How many options are there with this promotion?

A class has 14 students, of which 4 are seniors. How many committees of size 4 can be selected if at least one member of each committee must be a senior? The number of committees is Bus

An ice cream store has 25 flavors to select from. A customer walks in and orders a three​-scoop ice cream cone. How many ways can the customer make this selection if... a. the flavors can be the same and the order is important​? b. the flavors are different and the order is not important​?