We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.

+0

# The number of three digit OR four digit even numbers that can be formed from the numbers 2,3,5,6,7 is what?

0
196
1

please include all steps

Jan 28, 2015

### Best Answer

#1
+100439
+5

An even three digit number will have a "2" or a '6" at the end.

So, if it has a "2"  at the end, we just want to find the number of permutes that can be formed by selecting 2 of any of the remaining 4 digits= nPr(4,2) =  12

And the same number can be made if the "6" is at the end, so that's 12 + 12 = 24

The number of even four digit numbers is similar. The  number will have a 2 or 6 at the end, and we just want to find the number of permutes that can be formed by selecting any 3 of the remaining 4 digits = nPr(4,3) = 24. And, as above, the same number can be formed if the 6 is at the end.

So, since "or" usually means "add," we have 12 + 12 + 24 + 24 = 72 total even 3 or 4 digit even numbers

Jan 28, 2015

### 1+0 Answers

#1
+100439
+5
Best Answer

An even three digit number will have a "2" or a '6" at the end.

So, if it has a "2"  at the end, we just want to find the number of permutes that can be formed by selecting 2 of any of the remaining 4 digits= nPr(4,2) =  12

And the same number can be made if the "6" is at the end, so that's 12 + 12 = 24

The number of even four digit numbers is similar. The  number will have a 2 or 6 at the end, and we just want to find the number of permutes that can be formed by selecting any 3 of the remaining 4 digits = nPr(4,3) = 24. And, as above, the same number can be formed if the 6 is at the end.

So, since "or" usually means "add," we have 12 + 12 + 24 + 24 = 72 total even 3 or 4 digit even numbers

CPhill Jan 28, 2015