Permutations (ordered selection without repetition) (P(n,r) = n!/(n-r)!: order matters, no repeat)

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P(n,r) = n!/(n-r)! — order matters, no repeat

What each symbol means

SymbolWhat it stands for
nDistinct objects available
rPositions / slots to fill
P(n,r)Number of r-permutations from n

When to use this

Integers with 0 ≤ r ≤ n. JEE: treat P(n,r)=0 if r>n when needed.