Question 590791
Because <img src="http://latex.codecogs.com/gif.latex?\large _nC_r = \frac{n!}{r!(n-r)!}" title="\large _nC_r = \frac{n!}{r!(n-r)!}" />, this means that



<img src="http://latex.codecogs.com/gif.latex?\large _{100}C_{2} = \frac{100!}{2!(100-2)!} = \frac{100!}{2!98!} = 4950" title="\large _nC_r = \frac{n!}{r!(n-r)!}" /> 


and at the same time, 


<img src="http://latex.codecogs.com/gif.latex?\large _{100}C_{98} = \frac{100!}{98!(100-98)!} = \frac{100!}{98!2!} = \frac{100!}{2!98!} = 4950" title="\large _nC_r = \frac{n!}{r!(n-r)!}" />



So <img src="http://latex.codecogs.com/gif.latex?\large _{100}C_{98} = 4950" title="\large _nC_r = \frac{n!}{r!(n-r)!}" />