1. The student council is having pizza at their next meeting. There are 20 council members, 6 are vegetarian. A committee of 3 members will order 6 large pizzas. The shop offers 10 different toppings. A. How many different pizza committees can the council choose if there must be at least one vegetarian and one non-vegetarian on the committee? B. In how many ways could the committee choose exactly 3 toppings for one pizza? C. In how many ways could the committee choose up to 3 toppings for one pizza? D. The committee decides to order each topping exactly once and to have at least one topping on each pizza. Describe the different possible cases. E. For one of these cases, determine the number of ways of choosing and distributing the 10 toppings. Show all work and use permutations and/or combinations