Answered

Four different sets of objects contain 2,5,6, and 7 objects, respectively. How many unique combinations can be formed by picking one object from each set?

A 114

B 400

C 420

D 20

Verified Answer :

toporc

There are 2 choices for the first set, and 5 choices for the second set. Each of the 2 choices from the first set can be combined with each of the 5 choices from the second set. Therefore there are 2 times 5 combinations from the first and second sets. Continuing this reasoning, the total number of unique combinations of one object from each set is:
\(2\times5\times\times6\times7=420\ combinations\)

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