Please do it in C$++$ 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 $50$pts$.$ Include the combinations of A$,$ B$,$ and C that cause the statement to be true for an additional $50$pts$.$

$(1)($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 $(!$A 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 you$$re testing all possible combinations of input for all five logical statements, you$$ll have forty answers generated by your program, in total.