In how many ways can 3 boys and 3 girls be arranged at a table if 3 girls are never together?
Pick:
A) 96 B) 92 C) 82 D) 84 E) 90
Total ways of arranging 6 person in a circle = 5! = 120 ways   If we consider three women as one, then we have   3+1= 
<gadget id="calculator">  3+1</gadget>
<output>4</output>
4 persons. Arranging these four persons in circle will take= 3! = 6 ways   And two women can arrange themselves in 3! ways   Total ways in which three women sit together in circle = 3!*3! = 36 ways   Total ways in which three women doesn’t sit together in circle = 5! - 3!*3! = 120 - 36= 
<gadget id="calculator">120 - 36</gadget>
<output>84</output>
84 ways   84
<result>D</result>
In how many ways can 3 boys and 3 girls be arranged at a table if 3 girls are never together?