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# How many Numbers can be formed using 0,1,2,3,5,7,8

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Intern
Joined: 03 Nov 2019
Posts: 34
How many Numbers can be formed using 0,1,2,3,5,7,8  [#permalink]

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26 Nov 2019, 11:58
2
00:00

Difficulty:

(N/A)

Question Stats:

71% (02:05) correct 29% (02:18) wrong based on 24 sessions

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How many Numbers can be formed using 0,1,2,3,5,7,8
Such that 300< Number< 3000 and repetition is not allowed?
A) 360
B) 450
C) 340
D) 180
E) 570
Director
Status: Manager
Joined: 27 Oct 2018
Posts: 745
Location: Egypt
GPA: 3.67
WE: Pharmaceuticals (Health Care)
Re: How many Numbers can be formed using 0,1,2,3,5,7,8  [#permalink]

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26 Nov 2019, 12:33
3
2
for 3-digit numbers, the possible combinations are:
3xy , 5xy , 7xy , 8xy
so we can see that the possibilities of the 3-digts are 4*6*5 = 120

for 4-digit numbers, the possible combinations are:
1xyz , 2xyz
so we can see that the possibilities of 4-digits are 2*6*5*4 = 240

and the total = 360
##### General Discussion
Intern
Joined: 25 Nov 2019
Posts: 10
Re: How many Numbers can be formed using 0,1,2,3,5,7,8  [#permalink]

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26 Nov 2019, 12:14
I got A

but I also didn't score well so we'll see
XXX has to be greater than 300 so the 100 spot can be 3,5,7,8 (4) for the 10 spot all are open minus 1 so that is (6) and the 1's all are open less 2 so (5) 4*6*5 = 120
XXXX is the same 1000 can be 2 or 1 (2) 100's all minus 1 (6) 10's (5) 1's (4) = 240
120 + 240 = 360 or choice A
Director
Joined: 18 Feb 2019
Posts: 602
Location: India
GMAT 1: 460 Q42 V13
GPA: 3.6
Re: How many Numbers can be formed using 0,1,2,3,5,7,8  [#permalink]

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28 Nov 2019, 04:26
what is the source of this question
Intern
Joined: 16 Nov 2013
Posts: 3
How many Numbers can be formed using 0,1,2,3,5,7,8  [#permalink]

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28 Nov 2019, 04:56
Possible 3-digit numbers => 4×6×5 = 120

Possible 4-digit numbers => 2×6×5×4 = 240

Total possible numbers => (120+240) = 360
How many Numbers can be formed using 0,1,2,3,5,7,8   [#permalink] 28 Nov 2019, 04:56
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