Give a combinatorial proof of each of the following identities (i.e. do not manipulate the expressions given - count some appropriate set in two ways). (a) (2n chosen 2)=2(2n-1 chosen n-1) (b)sumtion K (n chosen k)(k chosen L)= (n chosen L) 2n-L

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Q: (9) √25 N OZ OQ Q OR XRR (h) 1,000 N Z OR (i) ON no R × 300000

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Q: Number 3

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Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.