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For selection without repetition, the number of combinations is calculated using the binomial coefficient formula $\binom{n}{r}=n!/[r!(n-r)!]$. This formula counts the number of ways to choose $r$ distinct elements from a set of $n$ elements where order does not matter.

Conditions: The selection is made without repetition.; The elements are distinct.; Order does not matter in the selection.

For selection without repetition, the number of combinations is calculated using the binomial coefficient formula $\binom{n}{r}=n!/[r!(n-r)!]$. This formula counts the number of ways to choose $r$ distinct elements from a set of $n$ elements where order does not matter.

Conditions: The selection is made without repetition.; The elements are distinct.; Order does not matter in the selection.