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How many combinations options are there for a code consisting of 2 eve

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Bunuel
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How many combinations options are there for a code consisting of 2 eve [#permalink] New post   03 Jul 2023, 01:30
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A
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C
D
E

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81% (01:05) correct 19% (01:37) wrong based on 102 sessions
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How many combinations options are there for a code consisting of 2 even digits followed by 2 odd digits, if no digit can be repeated?

A. 200
B. 250
C. 400
D. 625
E. 1000

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C
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Re: How many combinations options are there for a code consisting of 2 eve [#permalink] New post   03 Jul 2023, 02:36
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total even 5 digits and odd are also 5 digits
pattern with non repetition
5*4 * 5*4 ; 400
option C

Bunuel wrote:
How many combinations options are there for a code consisting of 2 even digits followed by 2 odd digits, if no digit can be repeated?

A. 200
B. 250
C. 400
D. 625
E. 1000

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Re: How many combinations options are there for a code consisting of 2 eve [#permalink] New post   03 Jul 2023, 05:14
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Even - {0,2,4,6,8} - 5 ways
Odd - {1,3,5,7,9} - 5 ways
no digit can be repeated so , 5*4*5*4
400
Answer is C
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Re: How many combinations options are there for a code consisting of 2 eve [#permalink] New post   03 Jul 2023, 22:09
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Approach: Since numbers are not to be repeated, we have to reduce one number when filling next digit. Also, since this is a code/pin, 0 can be included in first starting digit.

Let code be = _ _ _ _

_ _ are to be filled with 2 even digits hence from 0,2,4,6,8 these places can be filled in 5*4 = 20 ways
_ _ are to be filled with 2 odd digits hence from 1,3,5,7,9 these places can be filled in 5*4 = 20 ways

Since for a code, both these combinations are needed simultaneously so they have to be multiplied.

Total number of combinations = 20*20 = 400

Correct answer is C.

Bunuel wrote:
How many combinations options are there for a code consisting of 2 even digits followed by 2 odd digits, if no digit can be repeated?

A. 200
B. 250
C. 400
D. 625
E. 1000

This is a PS Butler Question

GMAT Club Bot
gmatclubot
Re: How many combinations options are there for a code consisting of 2 eve [#permalink]
03 Jul 2023, 22:09
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