We show, step-by-step, how to prove that 14x+6y=1 has no integer solutions using a proof by contradiction.
We show, step-by-step, how to use a direct proof to show that if a is congruent to b mod n, then a squared is congruent to b squared mod n.
We show, step-by-step, how to prove a theorem using a proof by contrapositive.
Two options will be distinct if the ball pulled at any of the seven times is different.
We show how to count the number of distinct hands in poker that are either a straight or a flush.