The editor of an anthology of short stories will select authors from a pool of 10 authors, of which 4 are female. If the anthology is to include the work of 6 authors of which at least 2 are female, in how many ways can the editor select the authors?  Choose the correct answer:
A) 155  B) 165  C) 175  D) 185  E) 195
10C6 = 210   The number of ways to select 6 males is 6C6 = 1   The number of ways to select 5 males and 1 female is 6C5*4C1 = 24   210 - 1 - 24= 
<gadget id="calculator">210 - 1 - 24</gadget>
<output>185</output>
185   The answer is 185.
<result>D</result>
The editor of an anthology of short stories will select authors from a pool of 10 authors, of which 4 are female. If the anthology is to include the work of 6 authors of which at least 2 are female, in how many ways can the editor select the authors?