Prove that:  2.5P3= nP

Dear Student ,
Please find below the solution to the asked query :

Assuming that here we have to find the value of n2.P35=P4n2×5!5-3!=n!n-4!2×5×4×3×2!2!=n×n-1×n-2×n-3×n-4!n-4!5×4×3×2=n×n-1×n-2×n-3So , on comparing n=5 .Value of n is 5 .
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