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How many three-digit positive integers are ther such that th

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How many three-digit positive integers are ther such that th [#permalink] New post 01 Feb 2017, 14:29
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Question Stats:

51% (00:30) correct 48% (00:32) wrong based on 27 sessions


How many three-digit positive integers are there such that the three digits are 3,4 and 8 ?

A) 3

B) 6

C) 9

D) 15

E) 96
[Reveal] Spoiler: OA

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Re: How many three-digit positive integers are ther such that th [#permalink] New post 08 Feb 2017, 23:01
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Explanation

Now here we have digits 3,4 and 8. How many ways can we arrange them to form a three digit number.

Lets pick one digit at a time.

1st Digit -> 3 Possibilities
2nd Digit -> 2 Possibilities
3rd Digit -> 1 Possibility

Number of digits = \(3 \times 2 \times 1 =6.\)

Hence option B is correct


The other way to solve it is to write out the possible three-digit positive integers and count them: 348, 384, 438, 483, 834, 843 → 6 three-digit positive integers While this method is efficient when the question only has three digits, it can get quite complicated with more digits or four-digit positive integers.


Note this is applicable for the statement:
How many ways can n distinct things be arranged? Answer: \(n!\)
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Re: How many three-digit positive integers are ther such that th   [#permalink] 08 Feb 2017, 23:01
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