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Section I: Closed Form Solutions Find the closed form solution of the following reen method or linear first-ord er equation T(n)- Section II: Combinatorics Answer

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Section I: Closed Form Solutions Find the closed form solution of the following reen method or linear first-ord er equation T(n)- Section II: Combinatorics Answer only three (3) of the six (6) questions. 2. If there are 6 red marbles, 6 blue marbles, 6 green marbles and 6 white marbles in a jar, how many marbles must be removed to guarantee removing 3 marbles of one color? 3. If a group consists of 8 women and 12 men, how many president-vice president-treasurer combi- nations are possible? 4. How many possible outcomes are there from fipping a coin 3 times or rolling a die twice? 5. From a standard 52 card deck, how many four-of-a-kind 5-card hands are possible? 6. How many arrangements of the word "combine" are there that start with "m" 7. If a group consists of 12 women and 6 men, how many 3-person committes can be formed with at most 1 man

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