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

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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, 00:26
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Difficulty:

  25% (medium)

Question Stats:

87% (01:12) correct 13% (04:07) 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


Thanks,
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
Reserving this space to post the official solution. :)
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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   [#permalink] 27 Apr 2017, 00:35
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Bane had 3 different color paints with him - Red, Green, and Blu

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