We show, step-by-step, how to prove that 14x+6y=1 has no integer solutions using a proof by contradiction.

# Category: Blogs

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## Direct Proof: a^{2}=b^{2}mod n.

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.

## Proof by Contrapositive

We show, step-by-step, how to prove a theorem using a proof by contrapositive.

## Counting Balls

Two options will be distinct if the ball pulled at any of the seven times is different.

## How many ways can you get a straight or a flush in poker?

We show how to count the number of distinct hands in poker that are either a straight or a flush.