A department of eight people - four men and four women - needs to send a team of five to a conference. If they want to make sure that there are no more than three members of the team from any one gender, how many distinct groups are possible to send?	Choose the correct choice from the following:
A) 36 B) 48 C) 60 D) 72 E) 90
They can make a team of 3 men and 2 women.   The number of ways to do this is 4C3*4C2=4*6= 
<gadget id="calculator">4*6</gadget>
<output>24</output>
24   They can make a team of 2 men and 3 women.   The number of ways to do this is 4C2*4C3=6*4= 
<gadget id="calculator">6*4</gadget>
<output>24</output>
24   The total number of distinct groups is 48.   The answer is 48.
<result>B</result>
A department of eight people - four men and four women - needs to send a team of five to a conference. If they want to make sure that there are no more than three members of the team from any one gender, how many distinct groups are possible to send?