So I understand that if it said the number of underordered then it would have been $\binom{k+t-1}{t-1}$ or $\binom{k+t-1}{k}$ but the ordered part is throwing me off so I don't know what to write as this formula.
2026-05-05 14:02:51.1777989771
Formula for: If $X$ is a set of $t$ elements,the number of ordered, $k$-element selections from $X$, limitless repetition allowed is
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HINT: It’s actually much easier to count the ordered $k$-element selections. These are just the ordered $k$-tuples of elements of $X$, i.e., the members of the set $X^k$. If $|X|=t$, what is $\left|X^k\right|$?