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Brooke wants to hang three paintings in a row on her wall. She has six
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13 Jun 2023, 00:01
13 Jun 2023, 00:01
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Brooke wants to hang three paintings in a row on her wall. She has six paintings to choose from. How many arrangements of paintings on the wall can she create?
A. 6
B. 30
C. 90
D. 120
E. 720
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A. 6
B. 30
C. 90
D. 120
E. 720
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) Cracking the GRE Premium
\(\Longrightarrow\) GRE Math Essentials - A most comprehensive handout!!
Re: Brooke wants to hang three paintings in a row on her wall. She has six
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15 Jun 2023, 04:00
15 Jun 2023, 04:00
1
Expert Reply
OE
The first thing you need to do is determine whether the order matters.
In this case it does, because we’re arranging the paintings on the wall.
Putting the Monet on the left and the Van Gogh in the middle isn’t the
same arrangement as putting the Van Gogh on the left and the Monet
in the middle. This is a permutation question. We have three slots to
fill because we’re arranging three paintings. There are 6 paintings that
could fill the first slot, 5 paintings that could fill the second slot, and 4
paintings that could fill the third slot. So we have 6 × 5 × 4, which
equals 120. Thus, the correct answer is (D).
The first thing you need to do is determine whether the order matters.
In this case it does, because we’re arranging the paintings on the wall.
Putting the Monet on the left and the Van Gogh in the middle isn’t the
same arrangement as putting the Van Gogh on the left and the Monet
in the middle. This is a permutation question. We have three slots to
fill because we’re arranging three paintings. There are 6 paintings that
could fill the first slot, 5 paintings that could fill the second slot, and 4
paintings that could fill the third slot. So we have 6 × 5 × 4, which
equals 120. Thus, the correct answer is (D).
gmatclubot
Re: Brooke wants to hang three paintings in a row on her wall. She has six [#permalink]
15 Jun 2023, 04:00
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