Acatering service offers 7 appetizers, 3 main courses, and 5 desserts. a customer is to select 4 appetizers, 2 main courses, and 4 desserts for a banquet. in how many ways can this be done?

This question is based on combinations

Out of 7 appetizers, 4 are to be selected, this becomes = 7C4

Out of 3 main courses, 2 are to be selected , this is = 3C2

Out of 5 desserts, 4 are to be selected, this is = 5C4

So, total ways become =

7C4 * 3C2 * 5C4

7!/4!(7-4)! * 3!/2!(3-2)! * 5!/4!(5-4)!

= 35*3*5 =525 ways

Hence, this can be done in 525 ways.

answer: standard form is ax^2 + bx + c = 0

step-by-step explanation:

standard form is ax^2 + bx + c = 0

(2x + 1)(x - 2) = 0

distribute to get into standard form

2x^2 - 4x + x - 2 = 0

2x^2 - 3x - 2 = 0

a = 2, b= -3, c = -2

a is your answer

people went from manufacturing one object at a time by hand to manufacturing many objects in factories