It is required to seat 4 boys and 4 girls in a row so that the girls occupy the even places. How many such arrangements are possible?  Choose the most appropriate option.
A) 572	B) 578	C) 570	D) 576	E) 577
Total number of candidates = 4 + 4= 
<gadget id="calculator">4 + 4</gadget>
<output>8</output>
8. In the row of 8 positions, the even places are 2nd, 4th, 6th and 8th.   Now, number of even places= 4.   Number of girls to occupy the even places = 4.   Even places can be filled = P (4, 4) ways.   Number of boys = 4.   The remaining 4 places can be filled by 4 boys = P (4, 4) ways   By the fundamental principle of counting:   The required number of seating arrangements   P(4, 4) x P(4, 4) = 4! x 4! = 24 x 24 = 576   ANSWER:576
<result>D</result>
It is required to seat 4 boys and 4 girls in a row so that the girls occupy the even places. How many such arrangements are possible?