We have 4 different boxes and 6 different objects. We want to distribute the objects into the boxes such that at no box is empty. In how many ways can this be done? Justify your answer.

11. Elyse is making punch for a party that requires 2 parts of fruit juice for every 5 parts of ginger ale. To make the punch, she uses 18 ounces of fruit juice and 3 containers of ginger ale. How many ounces are in each container of ginger ale?

Please answer all questions

Consider a popular ramen stall. Before the shop opens, there are 20people waiting in front of the restaurant.    Given that the shop only serves 10 bowls per day. If the maximum number ofeach menu the customers can order is 7 which means if the first 7 people orderShoyu Ramen, the rest must order Seafood Ramen. How many combinationof ramen orders(how each customer order and who got kicked out) are there?Ex: People can still order 5 Shoyu and 5 Seafood if they wish. But, no, the10 people who gets in can’t order 8 Shoyu and 2 Seafood.

Assume Amy is making a sandwich for lunch and needs to select her sandwich fixings. She will select two meats out of 5 options, 1 cheese out of 3 options, and exactly 3 or exactly 5 vegetables out of the 7 options. She will also decide whether to add mayo or not. How many ways can she make her sandwich.

4 For this problem, assume there are 10 adjacent seats in a row. How many different ways can 10 people be seated in them?

The Goal Line Gals has 35 members and the Baseball Babes has 28 members. At a joint meeting all members of each club are present and all 59 seats are filled. How many people are members of both clubs? Use a venn diagram to solve.