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# How many 4-digit numbers begin with an odd digit and end

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Manager
Joined: 28 Apr 2003
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How many 4-digit numbers begin with an odd digit and end [#permalink]

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12 Dec 2003, 20:49
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

How many 4-digit numbers begin with an odd digit and end
with an even digit?

a. 250
b. 500
c. 2,000
d. 2,500
e. 5,000

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Manager
Joined: 28 Apr 2003
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12 Dec 2003, 21:10
Could anyone kindly illustrate the reason?

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Manager
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12 Dec 2003, 21:14
5 ways of selecting the first digit = 1,3,5,7,9
10 ways each of selecting the 2nd and 3rd digit
5 ways of selecting the 4th digit = 2,4,6,8,0

= 5 * 10 * 10 5

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Director
Joined: 28 Oct 2003
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12 Dec 2003, 21:37
there are 9999 minus 999 four digit numbers. (9000)

They can begin with 1,3,5,7 or 9, and there are 1000 numbers per "set".

So, 5000.

How many of these end with an even digit? Half, or 2500.

This does, however, give me an interesting question idea...

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12 Dec 2003, 21:37
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# How many 4-digit numbers begin with an odd digit and end

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