Suppose we want to choose  3  letters, without replacement, from the  4  letters A, B, C, and D.(If necessary, consult a list of formulas.) (a) How many ways can this be done, if the order of the choices is relevant?     (b) How many ways can this be done, if the order of the choices is not relevant?

A horticulturist crosses two plants of the same species-one has a red flower and the other has a white flower. He knows from genetics that of the resulting seeds will produce plants with white flowers and will produce plants with red flowers. He harvests seeds and grows out 700 plants. How many of those would he expect to produce white flowers? (Simplify your answer completely.) plants How many of those would he expect to produce red flowers? (Simplify your answer completely.) plants

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The organizer of a conference is selecting workshops to include. She will select from 3 workshops about chemistry and 8 workshops about biology. In how many ways can she select 4 workshops if fewer than 2 must be about chemistry? (If necessary, consult a list of formulas.)