GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
How many different ways can 3 cubes be painted if each cube
[#permalink]
25 Mar 2019, 11:36
25 Mar 2019, 11:36
Expert Reply
3
Bookmarks
00:00
Question Stats:
9% (01:55) correct
90% (00:54) wrong based on 31 sessions
Hide Show timer Statistics
How many different ways can 3 cubes be painted if each cube is painted one color and only the 3 colors red, blue, and green are available? (Order is not considered, for example, green, green, blue is considered the same as green, blue, green.)
(A) 2
(B) 3
(C) 9
(D) 10
(E) 27
(A) 2
(B) 3
(C) 9
(D) 10
(E) 27
Re: How many different ways can 3 cubes be painted if each cube
[#permalink]
29 Oct 2019, 03:38
29 Oct 2019, 03:38
4
1
Bookmarks
Consider 3 scenarios:
(1) all 3 the same colour... 3 options
(2) all 3 different colours... 1 option
(3) 2 of 1 colour and 1 of another colour (so we're using 2 of the 3 colours): 3C2 gives us the possible 2 colour choices. However, we need to double it, since if we choose R and B we could have RRB or RBB.
So, 3C2 * 2 = 3 * 2 = 6
3 + 1 + 6 = 10 possibilities.
(1) all 3 the same colour... 3 options
(2) all 3 different colours... 1 option
(3) 2 of 1 colour and 1 of another colour (so we're using 2 of the 3 colours): 3C2 gives us the possible 2 colour choices. However, we need to double it, since if we choose R and B we could have RRB or RBB.
So, 3C2 * 2 = 3 * 2 = 6
3 + 1 + 6 = 10 possibilities.
General Discussion
Re: How many different ways can 3 cubes be painted if each cube
[#permalink]
19 Aug 2024, 06:22
19 Aug 2024, 06:22
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
