Permutations, Combination and Binomial Expansion — Important Questions
Gujarat Board · Class 11 · Statistics
45 important questions from Permutations, Combination and Binomial Expansion for Gujarat Board Class 11 Statistics, with answers.
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Important Questions from Permutations, Combination and Binomial Expansion
Which of the following represent the fundamental principle of counting for addition?
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Used when we want to select one item from multiple groups, Indicated by the word 'OR', If Group 1 has m items and Group 2 has n items, total ways = m + n
Addition principle applies when selecting one item from combined groups (OR operation). The last option describes multiplication principle.
In permutations, order matters while in combinations, order does not matter.
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True
This is the fundamental difference between permutations and combinations. In permutations, AB and BA are different, while in combinations they are the same.
Match the following values with their correct answers:
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3! → 6
3! = 6, ⁴C₁ = 4, ⁵P₁ = 5, and ⁶C₀ = 1 (any combination of 0 items is 1).
What is the relationship between ⁿPᵣ and ⁿCᵣ?
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ⁿPᵣ = ⁿCᵣ × r!
Each combination can be arranged in r! ways to give permutations, so ⁿPᵣ = ⁿCᵣ × r!.
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