Question $2$: Which of the following could be proved using an example

$($or counterexample$),$ and which would need to be proved using a general argument?

Question $2\mathrm{.}1$

Proving that the claim $$My algorithm is correct on all inputs$$ is true

A$)$ Example

B$)$ General argument

$2\mathrm{.}2)$

Proving that the claim $$My algorithm is correct on all inputs$$ is false

A$)$ Example

B$)$ General argument

$2\mathrm{.}3)$ Proving that the claim $$My algorithm is correct on some inputs$$ is true

A$)$ Example

B$)$General argument

$2\mathrm{.}4)$ Proving that the claim $$My algorithm is correct on some inputs$$ is false

A$)$ Example

B$)$ General argument