Ordinary generating fune tion 4. for cach qucstion, crcate a concisc ogf that models it and also identify the coefficient that you need in order to answer the question. (do not calculate the coefficients.) (a) how many ways arc there to distribute 14 identical forks to 10 pcople so that cach person (b) cans of pepsi are sold in 6-, 12-, 24-, and 30-packs. in how many ways can you buy (c) at a candy store, you select 24 pieces of candy from among five different types. in how (d) how many solutions (z1, 72, z3) are there to the equation 21 +z2+ 15, where the gets one or two forks? exactly k cans of pepsi? many ways can you do this if you want at least two pieces of each type? are nonnegative integers satisfying 0 ss8?