The editor of an anthology of short stories will select authors from a pool of 10 authors, of which 3 are female. If the anthology is to include the work of 7 authors of which at least 2 are female, in how many ways can the editor select the authors?
Choose the most appropriate option
A) 58  B) 68  C) 78  D) 88  E) 98
10C7 = 120   The number of ways to select 7 males is 7C7 = 1   The number of ways to select 6 males and 1 female is 7C6*3C1 = 21   120 - 1 - 21= 
<gadget id="calculator">120 - 1 - 21</gadget>
<output>98</output>
98   The answer is 98.
<result>E</result>
The editor of an anthology of short stories will select authors from a pool of 10 authors, of which 3 are female. If the anthology is to include the work of 7 authors of which at least 2 are female, in how many ways can the editor select the authors?