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Bane had 3 different color paints with him - Red, Green, and Blu

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Joined: 04 Jan 2015
Posts: 2014
Bane had 3 different color paints with him - Red, Green, and Blu  [#permalink]

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New post 27 Apr 2017, 00:26
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  25% (medium)

Question Stats:

85% (01:59) correct 15% (01:53) wrong based on 33 sessions

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Bane had 3 different color paints with him - Red, Green, and Blue. He wanted to paint a wall with 6 vertical stripes, but no two adjacent stripes could be of the same color. Assuming that Bane can use one color more than once, in how many ways can Bane paint the wall?


A. 32
B. 64
C. 96
D. 243
E. 729


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Saquib
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Re: Bane had 3 different color paints with him - Red, Green, and Blu  [#permalink]

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New post 27 Apr 2017, 00:27
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Joined: 12 Aug 2015
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Bane had 3 different color paints with him - Red, Green, and Blu  [#permalink]

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New post 27 Apr 2017, 00:35
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Here is what i did in this one ->

Using the rules mentioned in the question STEM->

First strip can be painted with 3 colours.
Second strip can be painted with 2 colours.
Third strip can be painted with 2 colours.
Fourth strip can be painted with 2 colours.
Fifth strip can be painted with 2 colours.
Sixth strip can be painted with 2 colours.

Hence number of ways => 3*2*2*2*2*2=> 3*2^5 => 3*32 => 96 ways.

SMASH THAT C.

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Bane had 3 different color paints with him - Red, Green, and Blu &nbs [#permalink] 27 Apr 2017, 00:35
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