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# Astrid wrote down all the different three-digit numbers that

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Astrid wrote down all the different three-digit numbers that [#permalink]  24 Mar 2020, 07:43
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Astrid wrote down all the different three-digit numbers that can be written using each of the numerals 1, 2, and 3 exactly once. What is the median of the numbers Astrid wrote down?

A. 213

B. 222

C. 223

D. 231

E. 233

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[Reveal] Spoiler: OA

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Joined: 20 Apr 2016
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WE: Engineering (Energy and Utilities)
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Re: Astrid wrote down all the different three-digit numbers that [#permalink]  28 Mar 2020, 08:12
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Carcass wrote:
Astrid wrote down all the different three-digit numbers that can be written using each of the numerals 1, 2, and 3 exactly once. What is the median of the numbers Astrid wrote down?

A. 213

B. 222

C. 223

D. 231

E. 233

Kudos for the right answer and explanation

Here,

as the numerals 1, 2, and 3 can be written exactly once, so total possible arrangement = 1*2*3 = 6 possible ways

The numbers are :

123, 132, 213, 231, 321, 312

Median of the numbers = $$\frac{{213 + 231}}{2} = \frac{444}{2} = 222$$
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Re: Astrid wrote down all the different three-digit numbers that   [#permalink] 28 Mar 2020, 08:12
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