Assignment: Create a program that can try out every possible logical combination of the variables A, B, and C, and determine which combinations will yield a true statement. A few things to take note of, first there are eight different possible combinations of the three variables. Make certain you test all eight of the combinations. The code itself will account for 50pts. Include the combinations of A, B, and C that cause the statement to be true for an additional 50pts.

(1) (A and B) or (A and C)

(2) (A and C) and (B and !C)

(3) (A or B) and !(B or C)

(4) (A or (B and C)) and (!C and !B)

(5) ((B and C) or (C and A)) and (!(A or B) and C)

Please read each of the five carefully and make sure your code accurately reproduces the logical statement given for each problem. Note that the exclamation symbol indicates the logical NOT operator, and the parentheses indicate which order the statements are to be performed in. Keep in mind since youre testing all possible combinations of input for all five logical statements, youll have forty answers generated by your program, in total.

Answer must be in C++