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# Answer each of the following: labeling your answers clearly Where appropnate; You can leave your answcr terms of factorials or binomial coefficients (in the C(n k) ...

## Question

###### Answer each of the following: labeling your answers clearly Where appropnate; You can leave your answcr terms of factorials or binomial coefficients (in the C(n k) format)A club consists of 12 men and 14 women: In how mnany ways can they choose president; vicc president and treasurer if the president is man and other two officers are women?club consists of 12 men and 14 women: How many dilferent commiltees consisting 0 men and womien Jic possible?Suppose that vou have 20 identical cupcakes t0 di

Answer each of the following: labeling your answers clearly Where appropnate; You can leave your answcr terms of factorials or binomial coefficients (in the C(n k) format) A club consists of 12 men and 14 women: In how mnany ways can they choose president; vicc president and treasurer if the president is man and other two officers are women? club consists of 12 men and 14 women: How many dilferent commiltees consisting 0 men and womien Jic possible? Suppose that vou have 20 identical cupcakes t0 distribute to seven children; In how mny wavs â‚¬in this bc done? Suppose that vou have 20 identical cupcakes to distribute to seven children In how many ways can this be done cach child recelves at least one cupcake? e) How many shortest lattice paths are there from (0.0) to (7, 4)? How many shortest lattice paths from (0, 0) to (7,4) Poss through thc point (5, 2}?

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