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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
Posts: 95
Location: Singapore
Followers: 1

Kudos [?]: 0 [0], given: 0

How many 4-digit numbers begin with an odd digit and end [#permalink]  12 Dec 2003, 20:49
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
Manager
Joined: 28 Apr 2003
Posts: 95
Location: Singapore
Followers: 1

Kudos [?]: 0 [0], given: 0

Could anyone kindly illustrate the reason?
Senior Manager
Joined: 12 Oct 2003
Posts: 251
Location: USA
Followers: 1

Kudos [?]: 5 [0], given: 0

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
Director
Joined: 28 Oct 2003
Posts: 503
Location: 55405
Followers: 1

Kudos [?]: 11 [0], given: 0

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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