((5χ/3)! * (χ/3)!)/((4χ/3) * (2χ/3)!)

asked by guest
on Jan 29, 2025 at 12:09 pm



You asked:

Evaluate the expression: (5χ3)!(χ3)!4χ3(2χ3)!\frac{\left( \frac{5 χ}{3} \right)! \cdot \left( \frac{χ}{3} \right)!}{\frac{4 χ}{3} \cdot \left( \frac{2 χ}{3} \right)!}

MathBot Answer:

(5χ3)!(χ3)!4χ3(2χ3)!=3(χ3)!(5χ3)!4χ(2χ3)!\frac{\left( \frac{5 χ}{3} \right)! \cdot \left( \frac{χ}{3} \right)!}{\frac{4 χ}{3} \cdot \left( \frac{2 χ}{3} \right)!} = \frac{3 \left(\frac{χ}{3}\right)! \left(\frac{5 χ}{3}\right)!}{4 χ \left(\frac{2 χ}{3}\right)!}