[ (n+4)! = 3024 \cdot n! \implies (n+4)(n+3)(n+2)(n+1) n! = 3024 \cdot n! ] [ (n+4)(n+3)(n+2)(n+1) = 3024. ]
Try ( n=5 ): ( 9\cdot8\cdot7\cdot6 = 3024 ). Yes.
Answer: ( n = 5 )
Accedmychevron_right11thchevron_rightmathchevron_rightPermutations And Combinationschevron_rightExercise 7.1