Of the 10 temporary employees in a certain company, 4 will be hired as permanent employees. If 5 of the 12 temporary employees are women, how many of the possible groups of 4 employees consist of 3 women and one man?
Choose the correct choice from the following answers:
A) 22 B) 50 C) 56 D) 70 E) 105
another approach :   one scenario : [WWWM]   now we have 5 ways for the first women , 4 ways for the 2nd women and , 3 ways for the third women.   and 5 ways to select one man   so   5*4*3*5= 
<gadget id="calculator">  5*4*3*5</gadget>
<output>300</output>
300   now the three women are same so combinations with win them are irrelevant the 3 women can we arranged in 3! ways   hence 300/3!= 300/6= 
<gadget id="calculator">300/6</gadget>
<output>50</output>
50   50
<result>B</result>
Of the 10 temporary employees in a certain company, 4 will be hired as permanent employees. If 5 of the 12 temporary employees are women, how many of the possible groups of 4 employees consist of 3 women and one man?