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How many different ways can 3 cubes
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30 Apr 2016, 20:40
30 Apr 2016, 20:40
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62% (00:45) correct
37% (01:05) wrong based on 8 sessions
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Guys- I can’t find out the answer of this.
How many different ways can 3 cubes be painted one color and only the 3 color red, blue, green are available? (Order is not considered, for example, green, green, blue is considered as green, blue, and green).
(A) 2
(B) 3
(C) 9
(D) 10
(E) 27
How many different ways can 3 cubes be painted one color and only the 3 color red, blue, green are available? (Order is not considered, for example, green, green, blue is considered as green, blue, and green).
(A) 2
(B) 3
(C) 9
(D) 10
(E) 27
Re: How many different ways can 3 cubes
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01 May 2016, 12:22
01 May 2016, 12:22
Expert Reply
happy1992 wrote:
Guys- I can’t find out the answer of this.
How many different ways can 3 cubes be painted one color and only the 3 color red, blue, green are available? (Order is not considered, for example, green, green, blue is considered as green, blue, and green).
(A) 2
(B) 3
(C) 9
(D) 10
(E) 27
How many different ways can 3 cubes be painted one color and only the 3 color red, blue, green are available? (Order is not considered, for example, green, green, blue is considered as green, blue, and green).
(A) 2
(B) 3
(C) 9
(D) 10
(E) 27
Here we have 3 color lets denote them by R B G respectively. Now we have the following combinations
1 R B G
2 R R R
3 B B B
4 G G G
Now we have the other combinations where we fix the color of 2 balls and and vary the third balls color.
5 R R B
6 R R G
7 B B G
8 B B R
9 G G B
10 G G R
Anything apart from this would fall among the above options. Note that total number of possible cases is \(3*3 = 27\).
Re: How many different ways can 3 cubes
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19 Nov 2021, 15:46
19 Nov 2021, 15:46
order not matter, so 3*3*3=27
