College Math CLEP Prep Practice Exam

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What is the difference between permutation and combination?

Combination is the arrangement of objects without repetition; permutation is the arrangement of objects with repetition.
Permutation is the arrangement of objects without repetition; combination is the arrangement of objects with repetition.
Combination is the selection of objects without repetition; permutation is the selection of objects with repetition.
Permutation is the selection of objects without repetition; combination is the selection of objects with repetition.

The correct answer is: Permutation is the arrangement of objects without repetition; combination is the arrangement of objects with repetition.

Permutation and combination both involve arranging or selecting objects, but the key difference between them is whether repetition is allowed. In permutation, repetition is not allowed, meaning each object can only be selected or arranged once. In combination, repetition is allowed, meaning objects can be selected or arranged multiple times. This eliminates options A and C since they both describe repetition in the incorrect way. Option D is also incorrect because it states that permutation involves selection, when in fact it involves arrangement. Option B correctly states that permutation is the arrangement of objects without repetition and combination is the arrangement of objects with repetition.