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# George went to the supermarket

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Joined: 27 Nov 2019
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George went to the supermarket [#permalink]  27 Nov 2019, 23:48
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100% (00:50) correct 0% (00:00) wrong based on 3 sessions
George went to the supermarket with a red and a green bag and bought 10 carrots and 6 radishes. On the way back he divided the vegetables between the two bags in such a way that no bag was left empty. what is the maximum number of ways in which he can divide the vegetables between the two bags ?

(a)60
(b)120
(c)600
(d)2^16
(e)(2^16)-2
[Reveal] Spoiler: OA
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Re: George went to the supermarket [#permalink]  05 Dec 2019, 11:41
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Each carrot or radish can go into either red or green bag. So for Each vegetable there are 2 ways they can end up.

Like that for 16 (10+6), gives,= 2^16 ways. But this includes the cases where all the 16 are in either red or green bag, no bag can be empty.

= 2^16-2
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Re: George went to the supermarket [#permalink]  06 Dec 2019, 03:46
GabSun96 wrote:
Each carrot or radish can go into either red or green bag. So for Each vegetable there are 2 ways they can end up.

Like that for 16 (10+6), gives,= 2^16 ways. But this includes the cases where all the 16 are in either red or green bag, no bag can be empty.

= 2^16-2

Thanks a lot
Re: George went to the supermarket   [#permalink] 06 Dec 2019, 03:46
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