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A cosmetics company would like to market a six-item gift basket bundle

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A cosmetics company would like to market a six-item gift basket bundle  [#permalink]

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New post 21 Feb 2017, 05:26
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A cosmetics company would like to market a six-item gift basket bundle from a set of ten possible items. If 49 of the potential bundles have already been eliminated from consideration, how many potential bundles are still being considered?

A. 147
B. 161
C. 175
D. 182
E. 210

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Re: A cosmetics company would like to market a six-item gift basket bundle  [#permalink]

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New post 21 Feb 2017, 05:30
Bunuel wrote:
A cosmetics company would like to market a six-item gift basket bundle from a set of ten possible items. If 49 of the potential bundles have already been eliminated from consideration, how many potential bundles are still being considered?

A. 147
B. 161
C. 175
D. 182
E. 210



Total bundles of 6 out of 10, = 10C6 = 210

Used Bundles = 49

Remaining Bundles = 210 - 49 = 161

Answer: Option B
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Re: A cosmetics company would like to market a six-item gift basket bundle  [#permalink]

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New post 21 Feb 2017, 05:57
Ans - B. 161

--> Total selection would be 10C6 = 210 and order wont matter, so no arrangements required.
question further says, 49 bundles eliminated. So, 210 - 49 = 161
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Re: A cosmetics company would like to market a six-item gift basket bundle  [#permalink]

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New post 23 Feb 2017, 10:38
Bunuel wrote:
A cosmetics company would like to market a six-item gift basket bundle from a set of ten possible items. If 49 of the potential bundles have already been eliminated from consideration, how many potential bundles are still being considered?

A. 147
B. 161
C. 175
D. 182
E. 210



We first can determine how many 6-item bundles can be created from 10 items.

10C6 = 10!/6!4! = (10 x 9 x 8 x 7)/(4 x 3 x 2 x 1) = 5 x 3 x 2 x 7 = 210

Since 49 bundles have been removed from consideration, there are 210 - 49 = 161 possible bundles.

Answer: B
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Re: A cosmetics company would like to market a six-item gift basket bundle  [#permalink]

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New post 23 Sep 2018, 06:51
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Re: A cosmetics company would like to market a six-item gift basket bundle &nbs [#permalink] 23 Sep 2018, 06:51
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