# 123456789 = 100 with three operations? [duplicate]

Given the sequence 123456789

You can insert three operations (+,-,X,/) into this sequence to make the equation = 100.

Is there a way to solve this without brute force?

• Can we use one operation multiple times?
– user64580
Commented Dec 27, 2019 at 23:45
• I found way to get 200 :( Commented Dec 27, 2019 at 23:48
• Does this answer your question? 1 2 3 4 5 6 7 8 9 = 100
Commented Dec 28, 2019 at 0:07

If I’m allowed to use the same operation multiple times, I would do:

123−45−67+89 = 100

• you also need to re-order the digits to do that, so it's not a soltion Commented Dec 27, 2019 at 23:48
• Thanks I found out using the correct order :)
– user64580
Commented Dec 27, 2019 at 23:52
• @Jdrupal your answer With brute force, but I am looking for other possible solutions.. As I mentioned in question answer should be without Brute force. Commented Dec 27, 2019 at 23:55
• Sorry what do you mean by brute force?
– user64580
Commented Dec 28, 2019 at 0:01
• @CR241 There’s absolutely no evidence of a brute force method being used here. Commented Dec 28, 2019 at 0:03