A certain company sells tea in loose leaf and bagged form, and in five flavors: Darjeeling, earl grey, chamomile, peppermint, and orange pekoe. The company packages the tea in boxes that contain either 8 ounces of tea of the same flavor and the same form, or 8 ounces of tea of 4 different flavors and the same form. If the order in which the flavors are packed does not matter, how many different types of packages are possible

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Answer:

- 20

Step-by-step explanation:

Given that,

Flavors of tea = 5

Types of packaging = 2

So,

No. of possibilities = 5 * 2

= 10

A.T.Q.,

4 from 5 total flavors will be included in the variety pack, the number of available choices = 5C4

= 5 choices

Since 5 choices are probable for each form, The total in two forms would be 5 * 2 = 10.

Therefore,

Total no. of different packs can be possible = 10 + 10

= 20

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