Model the following problem as a specified coefficient of an ordinary generating function. Follow the steps below to find how many different committees of 13 can be formed from a group of five officials in country A, seven officials in country B and eight officials in country C if at least 3 officials from country C must be in the committee and none of the countries have a majority representation in the committee. (Assume the officials of an country are indistinguishable or identical.) (a) Write down the equation that we want to slove. Explain all the variables used and the permissible value for these variables. (b) Write down the ordinary generating function (in simplified form) that arises from this equation. Which coefficient are you looking for? (Do not find the coefficient)
Model the following problem as a specified coefficient of an ordinary generating
Follow the steps below to find how many different committees of 13 can be formed from a group of five officials in country A, seven officials in country B and eight officials in country C if at least 3 officials from country C must be in the committee and none of the countries have a majority representation in the committee. (Assume the officials of an country are indistinguishable or identical.)
(a) Write down the equation that we want to slove. Explain all the variables used and the permissible value for these variables.
(b) Write down the ordinary generating function (in simplified form) that arises from this equation. Which coefficient are you looking for? (Do not find the coefficient)
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