Discrete Mathematics Answers

Show that the square of an even number is an even number using a direct proof.

Patrick has assignments in 5 subjects. He can only do two assignments . In how many ways can do two assignments?

Patrick has assignments in 5 subjects he can only do two assignments in how many ways can he do two assignments

How many 5 digit number can be formed from digits 0-6 if:

C. If one (1) is not to be used as the 1st digit and repetition is not allowed

Let f and g be the functions defined by f(x)= 2x+3 g(x)= 3x+2 then composition of f and g is

Using proof by contraposition, show that if n is an integer and 5 added to its cube is odd then n is even. Before showing your solution, rewrite the statement to the proper form of a conditional statement then assign variables to the simple propositions. Show also the contrapositive form of the simple propositions before proceeding to your solution.

Use a counterexample to disprove the following statement: "If x is greater than y, then x divided by y is greater than 1 where y ≠ 0.

Use a direct proof to show that the sum of two odd integers is even

A particular brand of shirt comes in 12 colors, has a male size version and a female version, and comes in three sizes for each sex. How many different types of this shirt are made?

Draw the directed graph of the following relation and identify the type relation on {a,b,c,d,e}.

A) [(a,c),(b,d),(c,a),(d,b),(e,d)]