Using C++

Problem:

Using all numbers 1 through 7 in order, make an equation that will equal 100.

You can use addition, subtraction, multiplication, and division (anywhere in the equation); however, you may not use parentheses. Also, you can also join two or three digits but only in order. eg: 12, 23, 34, 45, 56, 67 etc. You cannot use a number twice.

Question:

How can I write a program to find out which equation will equal to 100 and how many equations equal to 100?