There exist well known formulas for repetition and non-repetition for combination and permutation. Then you need to analyze the question and depending in the presented case (ordering, repetitions, length) choose one of these formulas:
Combination without repetition of $n$ elements taken $k$ by $k$. Order doesn't matter, so $abc$ is the same as $cba$: $$\binom{n}{k} = \frac{n!}{k!(n-k)!}$$
Combination with repetition of $n$ elements taken $k$ by $k$ where elements can be repeated once or more. Order doesn't matter ($abc=cba$) and you can also have $aab$, $aaa$ etc: $$\binom{n+k-1}{k} = \frac{(n+k-1)!}{k!((n+k-1)-k)!}
=\frac{(n+k-1)!}{k!(n-1)!}$$
Variation without repetition of $n$ elements taken $k$ by $k$. This is a permuted combination, so ordering does matter ($abc\neq cba$ both are different):
$$V_{n,k} = \frac{n!}{(n-k)!}$$
Variation with repetition of $n$ elements taken $k$ by $k$. This is the same as a variation but with the condition that elements can be repeated:
$$V_{R_{n,k}} = n^k$$
Permutation without repetition of $n$ elements. Here we have $n=k$ so the length of the arrangements is equal to the amount of elements: $$P_n=n!$$
Permutation with repetition of $n$ elements with $a,b,c\cdots k$ elements repeated: $$P_{n_{,a,b\cdots k}} = \frac{n!}{a!b!c!\cdots k!}$$