Mathematics · Permutations and Combinations
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: The total number of ordered arrangements (permutations) formed by selecting 7 items from a set of 10 distinct items is exactly equal to the number of ordered arrangements formed by selecting 3 items from the same set. Reason R: According to the Symmetry Property of combinations, the number of ways to select r items from n distinct items is mathematically equivalent to selecting (n - r) items, which is formulated as nCr = nCn-r. In the light of the above statements, choose the most appropriate answer from the options given below:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1A is not correct but R is correct✓
- 2A is correct but R is not correct
- 3Both A and R are correct but R is NOT the correct explanation of A
- 4Both A and R are correct and R is the correct explanation of A
Correct answer
A is not correct but R is correct
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