Meaning of n P r { _{ n }{ P }_{ r } }

Probability Level 2

What positive integers m m and n n satisfy the following two equations: m ⋅ P 5 n = 72 ⋅ P 3 n , P 6 n = m ⋅ P 4 n ? m\cdot { P }_{ 5 }^{ n }=72 \cdot { P }_{ 3 }^{ n }, \quad { P }_{ 6 }^{ n }=m \cdot { P }_{ 4 }^{ n }?

Details and assumptions

You may choose to read the summary page Permutations .

m = 5 , n = 8 m=5, n=8 m = 4 , n = 7 m=4, n=7 m = 6 , n = 7 m=6, n=7 m = 2 , n = 4 m=2, n=4

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Lawahar Qasid by Lawahar Qasid

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