digit numbers

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acorra: Senior | Next Rank: 100 Posts; Posts: 34; Joined: Mon Jun 09, 2008 8:41 am

by acorra » Sun Sep 28, 2008 8:50 am

How many number of 3 digit numbers can be formed with the digits 0,1,2,3,4,5 if no digit is repeated in any number? How many of these are even and how many odd?

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Source: Beat The GMAT — Problem Solving | Sun Sep 28, 2008 8:50 am

cramya: Legendary Member; Posts: 2467; Joined: Thu Aug 28, 2008 6:14 pmFollowed by: 11 members; Thanked: 331 times

by cramya » Sun Sep 28, 2008 8:58 am

Refer to

https://www.beatthegmat.com/difficult-ma ... -t795.html

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acorra: Senior | Next Rank: 100 Posts; Posts: 34; Joined: Mon Jun 09, 2008 8:41 am

by acorra » Sun Sep 28, 2008 8:59 am

Jow can you find that in the forum? I tried but I didn't find it. Thks

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stop@800: Legendary Member; Posts: 871; Joined: Wed Aug 13, 2008 7:48 am; Thanked: 48 times

by stop@800 » Sun Sep 28, 2008 10:15 am

Here u go

0 1 2 3 4 5

x x x
5 5 4 = 100

100 place digit can be selected in 5 ways [12345]
10 place digit can be selected in 5 ways 0-6 except one used just before
unit place digit can be selected in 4 ways 0-6 except one used at 10 and 100 place

total = 5 5 4 = 100

Odd
unit place 3 [135]
100 place in 4 ways [12345 - 1 digit used just before]
10 place digit in 4 ways

total = 3 4 4 = 48

even = 100 - 52

www.interrogationpoint.com

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cramya: Legendary Member; Posts: 2467; Joined: Thu Aug 28, 2008 6:14 pmFollowed by: 11 members; Thanked: 331 times

by cramya » Sun Sep 28, 2008 12:05 pm

You should be able to click directly on the link or copy/paste it on the browser

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scoobydooby: Legendary Member; Posts: 1035; Joined: Wed Aug 27, 2008 10:56 pmFollowed by: 1 member; Thanked: 104 times

by scoobydooby » Mon Sep 29, 2008 11:47 pm

i have a doubt:

i worked the question similar way, got 100 total 3 digit numbers, i worked out the number of even numbers first, i got 48 (4*4*3) and the balance 52 gave me the number of odd numbers. did i go wrong somehere?

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