(a) 10 26 If "P, = 20 "P,, then n= ?

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( quad n_{5}=20^{n} P_{3} ) ( Rightarrow quad frac{n_{0}}{(n-5) !}=frac{20 cdot n !}{(n-3) !} ) ( Rightarrow quad(n-3) !=20(n-5) ! ) ( Rightarrow quad(n-3)(n-4)(n-5) !=20(n-5) ! ) ( Rightarrow quad(n-3)(n-4)=20 ) ( Rightarrow quad n^{2}-7 n+12=20 ) ( Rightarrow quad n^{2}-7 n-8=0 ) ( Rightarrow quad(n-8)(n+1)=0 ) ( Rightarrow quad n=8 )

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