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Explain the Fundamental Counting Principle. Choose the correct answer below. A.

ID: 3141297 • Letter: E

Question

Explain the Fundamental Counting Principle. Choose the correct answer below. A. If you can choose one item from a group of M items and a second item from a group of N items, then the total number of two-item choices is M middot N. B. If you can choose one item from a group of M items and a second item from a group of N items, then the total number of two-tem choices is M middot M. C. If you can choose one item from a group of M items and a second item from a group of N items, then the total number of two-item choices is N middot N. D. If you can choose one item from a group of M items and a second item from a group of N items, then the total number of two-tem choices is M + N.

Explanation / Answer

The correct option is A. That is there are M*N choices. It is because, first we choose one object out of M objects, in M ways. Now for each such choice we can choose an object from the other set which has N objects. Thus there are N choices for each of the M objects chosen. That makes the total number of choices M*N.

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