45!/43!5!

asked by guest
on Jan 23, 2025 at 5:47 pm



You asked:

Evaluate the expression: \(\frac{45!}{43! \cdot 5!}\)

MathBot Answer:

\[\frac{45!}{43! \cdot 5!} = \frac{33}{2} = 16.5\]

\[\begin{aligned}\frac{45!}{43! \cdot 5!}& = 45! \cdot \frac{1}{43! \cdot 5!}\\& = 119622220865480194561963161495657715064383733760000000000 \cdot \frac{1}{43! \cdot 5!}\\& = 119622220865480194561963161495657715064383733760000000000 \cdot \frac{1}{60415263063373835637355132068513997507264512000000000 \cdot 5!}\\& = 119622220865480194561963161495657715064383733760000000000 \cdot \frac{1}{60415263063373835637355132068513997507264512000000000 \cdot 120}\\& = \frac{119622220865480194561963161495657715064383733760000000000}{7249831567604860276482615848221679700871741440000000000}\\& = \frac{33}{2}\end{aligned}\]

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