Permutations and Combinations
ICSE · Class 11 · Mathematics
Most important questions from Permutations and Combinations for ICSE Class 11 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.
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True or False: In permutations, the order of arrangement matters.
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True
True. A permutation is an ordered arrangement. AB and BA are counted as different permutations.
5C3 equals:
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10
5C3 = 5!/(3!×2!) = (5×4)/(2×1) = 10.
True or False: In combinations, AB and BA are considered different selections.
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False
False. In combinations, order does not matter. AB and BA represent the SAME combination — both select elements A and B.
The Addition Principle states that if event A can occur in m ways and event B in n ways (disjoint), then A or B can occur in:
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m + n ways
Addition Principle: for mutually exclusive (disjoint) events, A OR B can occur in m+n ways. Multiplication is for sequential AND events.
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