6!5!4!3!3!

asked by guest
on Mar 17, 2025 at 3:07 am



You asked:

Evaluate the expression: 6!⋅5!⋅4!⋅3!⋅3!6! \cdot 5! \cdot 4! \cdot 3! \cdot 3!

MathBot Answer:

6!⋅5!⋅4!⋅3!⋅3!=746496006! \cdot 5! \cdot 4! \cdot 3! \cdot 3! = 74649600

6!⋅5!⋅4!⋅3!⋅3!=720⋅5!⋅4!⋅3!⋅3!=720⋅120⋅4!⋅3!⋅3!=720⋅120⋅24⋅3!⋅3!=720⋅120⋅24⋅6⋅3!=720⋅120⋅24⋅6⋅6=86400⋅24⋅6⋅6=2073600⋅6⋅6=12441600⋅6=74649600\begin{aligned}6! \cdot 5! \cdot 4! \cdot 3! \cdot 3!&=720 \cdot 5! \cdot 4! \cdot 3! \cdot 3!\\&=720 \cdot 120 \cdot 4! \cdot 3! \cdot 3!\\&=720 \cdot 120 \cdot 24 \cdot 3! \cdot 3!\\&=720 \cdot 120 \cdot 24 \cdot 6 \cdot 3!\\&=720 \cdot 120 \cdot 24 \cdot 6 \cdot 6\\&=86400 \cdot 24 \cdot 6 \cdot 6\\&=2073600 \cdot 6 \cdot 6\\&=12441600 \cdot 6\\&=74649600\end{aligned}

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