+0  
 
0
221
1
avatar

what is a five digit number contains the digits 1,4,5,6 and 7 but not in that order. arrange these digits so that the resulting number divisible by 4. In how many ways can this be done?

Guest Aug 7, 2015

Best Answer 

 #1
avatar+91039 
+10

what is a five digit number contains the digits 1,4,5,6 and 7 but not in that order. arrange these digits so that the resulting number divisible by 4. In how many ways can this be done?

 

A number is divisable by 4 if the last 2 digits are divisable by 4.

I think the only 2 digit numbers that can be made that are divisable by 4 are 16, 56, 64 and 76  (4 possibilities)

If the last 2 digits are 16 then there are 3! ways ways that the others can be ordered.  That is 6 ways.

The same applies for each of the other final pairs .

So I believe that there are   4*6 = 24 possibilities.

Melody  Aug 7, 2015
Sort: 

1+0 Answers

 #1
avatar+91039 
+10
Best Answer

what is a five digit number contains the digits 1,4,5,6 and 7 but not in that order. arrange these digits so that the resulting number divisible by 4. In how many ways can this be done?

 

A number is divisable by 4 if the last 2 digits are divisable by 4.

I think the only 2 digit numbers that can be made that are divisable by 4 are 16, 56, 64 and 76  (4 possibilities)

If the last 2 digits are 16 then there are 3! ways ways that the others can be ordered.  That is 6 ways.

The same applies for each of the other final pairs .

So I believe that there are   4*6 = 24 possibilities.

Melody  Aug 7, 2015

18 Online Users

avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details