Acatering service offers 4 appetizers, 9 main courses, and 7 desserts. a customer is to select 3 appetizers, 2 main courses, and 3 desserts for a banquet. in how many ways can this be done

In 5040 ways.

Step-by-step explanation:

To solve this problem we will use combination without repetition which means:

C ( n k) = (n₁ k₁) (n₂ k₂) (n₃ k₃) = (4 3)  (9 2)  (7 3) =

(4 · 3 · 2 / 3 · 2 · 1) (9 · 8 / 2 · 1) (7 · 6 · 5 / 3 · 2 · 1) = 4 · 36 · 35 = 5040

It can be done in 5040 ways.

God with you!!!

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w