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In P&C, we form giant in terms of x and find coefficient of a particular power of x. Like in a question –​ "Find the number of ways of filling three boxes A,B,C by 12 or less numbers of identical balls, if no box is empty, box B has at least 3 balls and box C has at most 5 balls.” In this question, an equation was formed in terms of and coefficient of x^12 was found. Can someone show me the working and clearly explain the concept behind finding the coefficient?

In P&C, we form giant  in terms of x and find coefficient of a particular power of x. Like in a question –​ "Find the number of ways of filling three boxes A,B,C by 12 or less numbers of identical balls, if no box is empty, box B has at least 3 balls and box C has at most 5 balls.” In this question, an equation was formed in terms of  and coefficient of x^12 was found.


Can someone show me the working and clearly explain the concept behind finding the coefficient?

Grade:12

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