Simpify the product \(\displaystyle \frac{3}{1} \cdot \frac{4}{2} \dotsm \frac{101}{99} \cdot \frac{102}{100}\)
So we have denominators of 1-100 and numerators of 3-102.
the 3-100s cancel out so we hace
101*102 / 1*2
you can do the rest :)
if you don't understand anything feel free to ask