
Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion 
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June 29th, 2019, 02:00 AM  #1 
Newbie Joined: Jun 2019 From: n yutu Posts: 2 Thanks: 0  hOW TO SOLVE THIS
Hello sir, How to solve this? The number of even numbers of three digit which can be formed with digit 0,1,2,3,4 and 5 (no digit can be used more than once) is 1. 60 2. 92 3. 52 4. 48 Last edited by skipjack; July 1st, 2019 at 02:30 PM. 
June 29th, 2019, 09:08 AM  #2 
Senior Member Joined: Jun 2019 From: USA Posts: 309 Thanks: 160 
Even number, so the third digit must be 0, 2, or 4 (three possibilities). Second digit must be one of the five remaining digits. First digit must be one of the four remaining. Does that help? 
June 29th, 2019, 10:35 AM  #3 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,690 Thanks: 2669 Math Focus: Mainly analysis and algebra 
That doesn't account for the zero in the first place.

June 29th, 2019, 10:51 AM  #4 
Senior Member Joined: Sep 2015 From: USA Posts: 2,585 Thanks: 1430 
Last digit is always even, i.e. 0, 2, 4 Assume first digit is even. There are 2 ways to assign the first digit, and 2 ways to assign the last digit. Then having assigned these there are 4 ways to assign the 2nd digit. This is a total of 16 numbers. Assume the first digit is odd. There are 3 ways to assign the first digit, 3 ways to assign the last digit. Then there are 4 ways to assign the 2nd digit. This is a total of 36 36+16 = 52 
June 30th, 2019, 06:15 AM  #5 
Math Team Joined: Jul 2011 From: Texas Posts: 3,034 Thanks: 1621 
digit choices ... Odd, Odd, Even $3 \cdot 2 \cdot 3 = 18$ Odd, Even, Even $3 \cdot 3 \cdot 2 = 18$ Even, Odd, Even $2 \cdot 3 \cdot 2 = 12$ Even, Even, Even $2 \cdot 2 \cdot 1 = 4$ 
July 1st, 2019, 02:41 PM  #6 
Global Moderator Joined: Dec 2006 Posts: 21,029 Thanks: 2259 
There are 5 × 4 = 20 3digit numbers that end in 0. There are similarly 20 that end in 2 and 20 that end in 4, making 60 in total. If, however, numbers that have a leading zero are excluded, the 8 numbers 012, 014, 024, 032, 034, 042, 052 and 054 are excluded. and so the total is 60  8 = 52. 

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