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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
A 3-digit positive integer consists of non zero digits. If exactly two
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18 Sep 2022, 21:32
18 Sep 2022, 21:32
Expert Reply
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Question Stats:
66% (02:02) correct
33% (01:28) wrong based on 9 sessions
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A 3-digit positive integer consists of non zero digits. If exactly two of the digits are the same, how many such integers are possible?
(A) 72
(B) 144
(C) 216
(D) 283
(E) 300
(A) 72
(B) 144
(C) 216
(D) 283
(E) 300
Re: A 3-digit positive integer consists of non zero digits. If exactly two
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21 Sep 2022, 05:07
21 Sep 2022, 05:07
1
Expert Reply
We need 3 digit integer with non zero digits (so only 1 to 9 are allowed). Since 2 of the digits are the same, the numbers are of the form XXY or XYX or YXX (so 3 forms).
You can select X in 9 ways and Y in 8 ways.
Total integers possible = 9*8*3 = 216
Answer (C)
You can select X in 9 ways and Y in 8 ways.
Total integers possible = 9*8*3 = 216
Answer (C)
Re: A 3-digit positive integer consists of non zero digits. If exactly two
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15 Jun 2024, 08:13
15 Jun 2024, 08:13
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