SOLUTION: Let be : p=1*3*5*...*99/2*4*6*...*100 Find the first digit after the decimal point.

Algebra ->  Decimal-numbers -> SOLUTION: Let be : p=1*3*5*...*99/2*4*6*...*100 Find the first digit after the decimal point.      Log On


   

Question 1025265: Let be :
p=1*3*5*...*99/2*4*6*...*100
Find the first digit after the decimal point.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
p=(1*3*5*...*99)/(2*4*6*...*100)
= ((1*3*5*...*99)(2*4*6*...*100))/((2*4*6*...*100)(2*4*6*...*100))
= 100%21%2F%28%282%5E50%2A50%21%29%282%5E50%2A50%21%29%29
=100%21%2F%282%5E100%2A50%2150%21%29
=C%28100%2C50%29%2F2%5E100
=0.07958923739, using an ordinary scientific calculator.
The answer is now clear.
(C(n,r) is the combination of n things taken r at a time. In your scientific calculator it is indicated as nCr.)