Determine if the following.

a) There are 12 different varieties of flowers. How many different kinds of bouquets can be made using 5 different kinds of flowers?

b) There are 14 different flavors of ice creams. How many 3-scoop cones are possible (each scoop being of a different flavor)?

c) In how many ways can 4 fruits be chosen from a collection of one each of Oranges, Peaches, Plums, Apricots, Apples, and Pears?

d) In how many ways can 5 books be chosen from a collection having at least 5 copies each of a Math book, a Sociology book, a Physics book, an Economics book, a Geography book, a Chemistry book, a History book, and a Biology book?

e) There are piles of Red, Blue, and Green balls, with each pile containing at least 10 balls. In how many ways can 10 balls be selected with at least 1 Red ball, at least 2 Blue balls, and at least 3 Green balls?

*** Please Show the Work *** Thank you...

[Determine if the following. 3) There are 12 different varieties of owers. How many different kinds of bouquets can be made using 5 different kinds of owers? There are 14 different avors of ice creams. How many 3-scoop cones are possible (each scoop being of a different avor)? In how many ways can 4 fruits be chosen from a collection of one each of Oranges, Peaches, Plums, Apricots, Apples, and Pears? In how many ways can 5 books be chosen from a collection having at least 5 copies each of a Math book, a Sociology book, a Physics book, an Economics book, a Geography book, a Chemistry book, a History book, and a Biology book? There are piles of Red, Blue, and Green balls, with each pile containing at least 10 balls. In how many ways can 10 balls be selected with at least 1 Red ball, at least 2 Blue balls, and at least 3 Green balls