Continuing Exercise 41, if the Save-You-More Store has 400 cans of cherry pie fi

Question

Continuing Exercise 41, if the Save-You-More Store has 400 cans of cherry pie filling and wishes to build three triangular pyramids of equal height, how many rows will the pyramids have and how many cans will be left over? In Exercises 43-46, you are buying a triple-deck ice cream cone with vanilla, strawberry, and chocolate as possible flavors. The flavors can be repeated or not, and we will consider two cones to be different if the flavors are the same but occur in different order. How many different cones are possible? How many cones have only vanilla and strawberry? How many possible cones have only two different flavored scoops? How many possible cones have all different flavors? The base of a stack of oranges in a supermarket consists of five rows with five oranges in each row. The oranges in the next row will be placed as shown by the highlighted orange in the figure. How many oranges will there be in the stack?

Explanation / Answer

44:

There are three deck and only two falvors must be used.

One deck is chose for vanilla and one for strawberry and third can be chose in two ways either vanilla or strawberry. So favolrs can be chosed in 1*1*2 = 2 ways.

Since out of 3 one falvor must be repeated so possible number of arrangements is

3! /2! =3

Hence, possible number of cones with vanilla and strawberry only is 2*3 = 6

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