How many different arrangements are possible with 3 digits numbers from 1-9 if we have to arrange them in ascending order?

$\begingroup$

if there are numbers 1,2,3,4,5,6,7,8,9 how many different three digit values we can make such that the digits are in ascending order? since there are numbers from 1-9, I understand that the first digit should be from 1-7 So like that the different arrangements I found are, 123 234 345 456 567 678 789 even though I have arranged these I am confused with finding all the combinations here. they have given the answer as 84.

$\endgroup$ 3

1 Answer

$\begingroup$

Pick any $3$ numbers out of these $9$ numbers and arrange them in ascending order. So there are $9\choose 3$ possibilities.

$\endgroup$ 4

Your Answer

Sign up or log in

Sign up using Google Sign up using Facebook Sign up using Email and Password

Post as a guest

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

You Might Also Like