In a class of 10 students there are 3 girls. In how many ways can they be arranged in a row such that no three girls are consecutive? Choose the correct choice from the following:
A) 32*6!  B) 42*8!  C) 25*5!  D) 45*5!  E) 52*9!
Number of girls = 3   Number of boys = 7   7 boys can be arranged in a row in 7! ways   Now there are 8 places for 3 girls   3 girls can be arranged in 8P3 ways   Required number of ways = 8P3 * 7! = 8!*7!/5! = 42*8!   Answer is 42*8!
<result>B</result>
In a class of 10 students there are 3 girls. In how many ways can they be arranged in a row such that no three girls are consecutive?