To implement the expression X'Y'Z'+X'YZ'+XY'Z+X'YZ+XYZ' , it takesGroup of answer choicesfive AND gates, three OR gates, and seven invertersfour AND gates, two OR gates, and six invertersfive AND gates, one OR gate, and eight invertersfive AND gates, one OR gate, and seven inverters

The expression X'Y'Z'+X'YZ'+XY'Z+X'YZ+XYZ' can be implemented using five AND gates, one OR gate, and seven inverters.

Here's the step-by-step breakdown:

1. Inverters: You need an inverter for each variable that has a prime (') after it. In this case, you have X' three times, Y' twice, and Z' twice. So, you need 3+2+2 = 7 inverters.

2. AND gates: Each term in the expression is a product (AND operation) of three variables. Since there are five terms, you need five AND gates.

3. OR gates: The entire expression is a sum (OR operation) of the five terms. Therefore, you need one OR gate to combine these terms.

So, the correct answer is "five AND gates, one OR gate, and seven inverters".