In how many ways can 6 boys and 3 girls be arranged at a table if 3 girls are never together? Choose the correct choice from the following answers
A) 47520	B) 45620	C) 47888	D) 42156	E) 43210
Total ways of arranging 10 person in a circle = 9! = 51840 ways   If we consider three women as one, then we have   6+1= 
<gadget id="calculator">  6+1</gadget>
<output>7</output>
7 persons. 47520rranging these seven persons in circle will take= 6! = 720 ways   47520nd three women can arrange themselves in 3! ways   Total ways in which three women sit together in circle = 6!*3! = 4320 ways   Total ways in which three women doesn’t sit together in circle = 9! - 6!*3! = 51840 - 4320= 
<gadget id="calculator">51840 - 4320</gadget>
<output>47_520</output>
47520 ways   47520
<result>A</result>
In how many ways can 6 boys and 3 girls be arranged at a table if 3 girls are never together?