45!/43!5!

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



You asked:

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

MathBot Answer:

45!43!⋅5!=332=16.5\frac{45!}{43! \cdot 5!} = \frac{33}{2} = 16.5

45!43!⋅5!=45!⋅143!⋅5!=119622220865480194561963161495657715064383733760000000000⋅143!⋅5!=119622220865480194561963161495657715064383733760000000000⋅160415263063373835637355132068513997507264512000000000⋅5!=119622220865480194561963161495657715064383733760000000000⋅160415263063373835637355132068513997507264512000000000⋅120=1196222208654801945619631614956577150643837337600000000007249831567604860276482615848221679700871741440000000000=332\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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