There are 100 boxes numbered from 1 to 100. Either a red ball or a green ball will be placed in each box in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. How many different ways can this be done?	Choose the correct choice from the following options:
A) 4650 B) 4750 C) 4850 D) 4950 E) 5050
1 green ball: 100 ways   2 green balls: 99 ways   3 green balls: 98 ways   4 green balls: 97 ways   etc...   95 green balls: 6 ways   96 green balls: 5 ways   97 green balls: 4 ways   98 green balls: 3 ways   99 green balls: 2 ways   100 green balls: 1 way   The total number of ways is   100*101/2= 
<gadget id="calculator">  100*101/2</gadget>
<output>5_050</output>
5050   The answer is 5050.
<result>E</result>
There are 100 boxes numbered from 1 to 100. Either a red ball or a green ball will be placed in each box in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. How many different ways can this be done?