For dinner at a restaurant, there are x + 1 choices of appetizers, y + 1 main courses, and z choices of dessert. How many total possible choices are there if you choose 1 appetizer, 1 main course, and 1 dessert for your meal?
Answers:	A) x + y + z + 1	B) xyz + xz	C) xyz+xz+yz+z	D) xyz + 1	E) xyz + 1/2
x +1 appetizers,   y + 1 main courses,   z dessert   Required: 1 appetizer, 1 main course, and 1 dessert   Number of ways possible = (x+1)xyz+xz+yz+z1*(y+1)xyz+xz+yz+z1*zxyz+xz+yz+z1 {Nxyz+xz+yz+z1 = N! / (N-1)!*1! = N}   Hence, number of ways = (x+1)(y+1)z = (yz+z)(x+1)=xyz+xz+yz+z   xyz+xz+yz+zorrect Option: xyz+xz+yz+z
<result>C</result>
For dinner at a restaurant, there are x + 1 choices of appetizers, y + 1 main courses, and z choices of dessert. How many total possible choices are there if you choose 1 appetizer, 1 main course, and 1 dessert for your meal?