Permutations, Combination and Binomial Expansion — Practice Quiz
Gujarat Board · Class 11 · Statistics
Try a 4-question quiz on Permutations, Combination and Binomial Expansion for Gujarat Board Class 11 Statistics: tap an answer to check it and see why.
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Quick Quiz: Permutations, Combination and Binomial Expansion
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What is the value of 5!?
What is ⁴P₂?
What is ⁵C₃?
How many terms are there in the expansion of (x + a)⁶?
Sample Questions
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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