For dinner at a restaurant, there are x 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?  Select:  A) x + y + z + 1  B) xyz + xz  C) xy + z + 1  D) xyz + 1  E) xyz + 1/2
x appetizers,   y + 1 main courses,   z dessert   Required: 1 appetizer, 1 main course, and 1 dessert   Number of ways possible = xC1*(y+1)C1*zC1 {NC1 = N! / (N-1)!*1! = N}   Hence, number of ways = x(y+1)z = xyz + xz   Correct Option: xyz + xz
<result>B</result>
For dinner at a restaurant, there are x 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?