Programming Assignments.Java

Project $1$: Set Operations

Let U be the set of integers $\{0,1,2,$cdots,$50\}.$ Write a program to get input for subsets $A,B$ and C of U $,$ and compute $ABC,$AUBUC, Compliment of $AU$ Compliment of B U Compliment of C and $A-B-C.$

Project $2$: Truth Table: Write a program that displays the truth table for $p^{{?}^{?}}{q}^{{?}^{?}}r,pvv{q}^{{?}^{?}}r,$ and the truth table for $pvvqvv.($Consider how a program could do a truth table for other expressions of p and q also.$)$

Project $3$: Permutations$/$Combinations: The program gets input of positive integers $r$ and $n,$ with $rn.$ It outputs the permutations of $n$ things taken $r$ at a time, and the combinations of $n$ things taken $r$ at a time. $($The program should output a message "Result is too large for this program to calculate" rather than outputting an incorrect value due to overflow.$)$

Project $4$: Cartesian Product of Sets: Let U be the set of integers $\{0,1,2,$cdots,$50\}.$ Write a program to get input of elements in subsets $A,B$ and C $,$ then output the set AxBxC $.$