Answer:
756
Explanation:
This is a combination problem. Combination has to do with selection.
If we are to select r objects out of a oiil of n objects, this can be done in nCr number of ways as shown;
nCr = n!/(n-r)!r!
From the question, there are 4 meats and 9 vegetables to choose from. If the customer is to select 2 different meats and 4 different vegetables from the available ones, this can be done as shown
4C2 (selection of 2 different meats from 4meats) and 9C4(selection of 4 different vegetables from 9 total vegetables)
The total number of ways this can be done is 4C2 × 9C4
= 4!/(4-2)!2! × 9!/(9-4)!4!
= 4!/2!2! × 9!/5!4!
= 4×3×2!/2!×2 × 9×8×7×6×5!/5!×4×3×2
= 6 × 9×7×2
= 756ways
This means 756 different supreme choice pizzas can be made.