Different Ways to Buy Cookies

How many ways can you buy 10 cookies and a dozen cookies?

Cookies are sold singly or in packages of 2 or 6. With this packaging, how many ways can you buy:

a. 10 cookies?

b. a dozen cookies?

Answer:

You can buy 10 cookies in 5 different ways and a dozen cookies in 5 different ways too with the options of buying singles, packages of 2 or packages of 6.

This question belongs to the field of mathematical combination. To solve this, you should find all the ways the number of cookies can be expressed using the numbers 1, 2, and 6.

a. Buying 10 cookies:

You can buy 10 cookies in the following ways:

  • 10 singles
  • 5 packages of 2
  • 1 package of 6 and 4 singles
  • 1 package of 6 and 2 packages of 2
  • 2 packages of 6
b. Buying a dozen (12) cookies:

You can buy a dozen cookies in the following ways:

  • 12 singles
  • 6 packages of 2
  • 2 packages of 6
  • 1 package of 6, 3 packages of 2, and 2 singles
  • 1 package of 6, 1 package of 2, and 4 singles
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