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For a school trip, one place is to be chosen from (3) museums or (4) parks. How many total options are there?

Answer and explanation

Correct answer: (7)

The direct answer is option C, 7. The trip requires choosing exactly one place: either one of 3 museums or one of 4 parks. These are separate alternatives, so the addition principle applies. Add the numbers of choices: 3+4=7. Therefore, there are 7 total options. Option A, 12, is wrong because multiplication would describe choosing one museum and one park together, but the wording says one place, not both. Option B, 9, is simply not the correct sum and does not follow from the given groups. Option C, 7, is correct because the 3 museum choices and 4 park choices are mutually exclusive alternatives. Option D, 1, would mean there is only one possible destination, which ignores all the listed choices. The important word is “or.” When we choose one item from one group or one item from another separate group, add the choices. For example, if museums are M1, M2, M3 and parks are P1, P2, P3, P4, the complete list has seven possibilities: M1, M2, M3, P1, P2, P3, P4. We do not multiply because the trip does not select a museum and a park at the same time. Memory cue: “or” for separate choices usually means addition; “and” for successive choices usually means multiplication.

Related tags

Permutations And CombinationsCounting PrincipleAddition Rule

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