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praveen27sinha
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A certain company sells tea in loose leaf and bagged form, and in five 03 Jun 2019, 10:03
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C
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35% (medium)

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74% (02:13) correct 26% (02:21) wrong based on 378 sessions

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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?

A. 12
B. 15
C. 20
D. 25
E. 30
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C
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A certain company sells tea in loose leaf and bagged form, and in five 03 Jun 2019, 10:32
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praveen27sinha
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?
1) 12
2) 15
3) 20
4) 25
5) 30
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Can some one please provide answer along with explanation?Thanks in anticipation
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A certain company sells tea in loose leaf and bagged form, and in five 03 Jun 2019, 10:46
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all the same form and same flavor in each package = 5 for form A and 5 for form B (10 in total)
diffrent flavors = 5c4 for form A and 5c4 for form B (10 in total)
20 types of packages.
IMO C
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A certain company sells tea in loose leaf and bagged form, and in five 03 Jun 2019, 15:22
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With 5 flavours and 2 forms, we have ten types of tea altogether. So we have 10 packages we can make which contain a single type. When we combine 4 flavours of a given form, we're just choosing one flavour to leave out of the package, so in that case we again have 10 packages we can make, for 20 packages in total.
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A certain company sells tea in loose leaf and bagged form, and in five 06 Jun 2019, 17:47
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praveen27sinha
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?
1) 12
2) 15
3) 20
4) 25
5) 30
Show more

There are 2 x 5 = 10 possibilities for packages that contain the same flavor of tea.

Since the variety pack contains 4 out of 5 flavors, 5C4 = 5 choices are possible and since each of the choices can be presented in 2 forms, there are 2 x 5 = 10 possibilities for packages that contain various flavors.

Thus, in total, 10 + 10 = 20 different types of packages are possible.

Answer: 3/C
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A certain company sells tea in loose leaf and bagged form, and in five 29 Mar 2026, 07:16
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