A password consists of four distinct digits such that their sum is 19 and such that exactly two of its digits are prime, for example 0397. The number of posibilities for the password is

a)168 b)176 c)180 d)216

Please help. I am trying out for the maths olympiad tomorrow and I need to know how to answer similar questions. If there are any formulaes please state them. Please explain every step ( if you can)

Jeffreymars16
Mar 13, 2018

#1**0 **

I don't have an answer to this exact question but at this website - http://newb.kettering.edu/wp/matholympiad/past-problems-solutions/ you may find other problems together with solutions.

This essay writing service can answer your math problems.

EstelJordan
Mar 13, 2018

#2**-3 **

You'd think a math Olympiad wouldn't be cheating more or less on line to look for answers. Not my place to say but it is kinda funny

ClownPrinceofChaos
Mar 13, 2018

#3**0 **

Here is my guess!!

Since there are 4 prime numbers between 0 - 9, therefore, there are: 4C2 =6 combinations:

23, 25, 27, 35, 37, 57 for a total sum of =5, 7, 9, 8, 10, 12. So, for the first 23, you need two of the numbers from the remaining six {0, 1, 4, 6, 8, 9} that will add to 14. And the only 2 numbers that will give you that are 6, 8. I count 28 such combinations. So: 6 x 28 =**168.**

**And that is my guess!!.**

Guest Mar 13, 2018