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Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Set A = {2, 3, 4, 5} and set B = {4, 5, 6, 7, 8}.
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16 Jan 2019, 16:32
16 Jan 2019, 16:32
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Set A = {2, 3, 4, 5}, and set B = {4, 5, 6, 7, 8}. If P = the product of one number chosen from set A and one number chosen from set B, how many DIFFERENT values of P are possible?
A) 14
B) 15
C) 16
D) 18
E) 20
A) 14
B) 15
C) 16
D) 18
E) 20
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: Set A = {2, 3, 4, 5} and set B = {4, 5, 6, 7, 8}.
[#permalink]
18 Jan 2019, 13:57
18 Jan 2019, 13:57
GreenlightTestPrep wrote:
Set A = {2, 3, 4, 5}, and set B = {4, 5, 6, 7, 8}. If P = the product of one number chosen from set A and one number chosen from set B, how many DIFFERENT values of P are possible?
A) 14
B) 15
C) 16
D) 18
E) 20
A) 14
B) 15
C) 16
D) 18
E) 20
Let's list and count all possible outcomes.
Possible products when 2 is selected from set A: 8, 10, 12, 14, 16
Possible products when 3 is selected from set A:
Possible products when 4 is selected from set A:
Possible products when 5 is selected from set A:
TOTAL outcomes = 16
Answer: C
IMPORTANT: I created the question to highlight the fact that, when it comes to counting questions, many students are reluctant to simply list and count the possible outcomes.
In this case, all 5 answer choices are relatively small, so we can be sure that it won't take long to list and count the outcomes.
That said, even when the answer choices are large, listing possible outcomes can often lead to useful insights regarding the correct answer.
I talk about all of this (and more) in the following video:
gmatclubot
Re: Set A = {2, 3, 4, 5} and set B = {4, 5, 6, 7, 8}. [#permalink]
18 Jan 2019, 13:57
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