In how many ways can a group of 3 people be selected out of 5 men and 7 women, so that 2 of them are of the same gender?	Select.
A) 96  B) 125  C) 155  D) 175  E) 225
Since the question stem asks for 2 members of the same gender we get the following:   1. 2-Men and 1-Woman, hence (2C5)*(1C7) = 5*2*7= 
<gadget id="calculator">5*2*7</gadget>
<output>70</output>
70   2. 2-Women and 1-Man, hence (2C7)*(1C5)= 7*3*5= 
<gadget id="calculator">7*3*5</gadget>
<output>105</output>
105   Thus, the total number of ways would be: 70+105= 
<gadget id="calculator">70+105</gadget>
<output>175</output>
175   ANS:175
<result>D</result>
In how many ways can a group of 3 people be selected out of 5 men and 7 women, so that 2 of them are of the same gender?