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

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Joined: 02 Sep 2009
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21 Feb 2017, 04:26
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Difficulty:

5% (low)

Question Stats:

93% (01:16) correct 7% (02:01) wrong based on 84 sessions

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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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21 Feb 2017, 04:30
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

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21 Feb 2017, 04:57
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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23 Feb 2017, 09:38
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.

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23 Sep 2018, 05:51
Hello from the GMAT Club BumpBot!

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Re: A cosmetics company would like to market a six-item gift basket bundle &nbs [#permalink] 23 Sep 2018, 05:51
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