Question

You are the owner of a computer component manufacturing company. Your manufacturing plant has 10 different machines that can be tooled to make a variety of chips and boards. Specifically you can make memory chips that are 2GB, 4GB, 8GB, and 16GB, or motherboards that are 12"x12", 15"x15", and 21"x21". Each machine can only make one type of chip or one type of board at a time, and retooling a machine takes a full day to accomplish. How many different ways can you configure the machines to produce computer component on any given day, assuming all of the machines have been completely setup for that day?

Answer 1

Answer:

7 raise to power 10

Explanation:

Since there are 4 possible ways to make memory chip and 3 possible ways to manufacture mother board, so for each machines we have 7 possible ways of configurations.

So total number of ways in which these machines can be configured is 7*7*7*...*7= 7raise to power 10 possible ways

Answer 2

Total number of way is 7¹⁰ that is 282,475,249

Because there are four different ways to produce a memory chip and three different ways to make a parent board, each system may have seven different combinations.

As a result, the total number of possible configurations for these machines is

7 × 7 × 7 ×7 ... × 7 = 7¹⁰ possible ways

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