It is required to seat 4 boys and 3 girls in a row so that the girls occupy the even places. How many such arrangements are possible? Choose the correct choice from the following options:
A) 142	B) 144	C) 3680	D) 3280	E) 3680
Total number of candidates = 4 + 3= 
<gadget id="calculator">4 + 3</gadget>
<output>7</output>
7. In the row of 7 positions, the even places are 2nd, 4th, 6th .   Now, number of even places= 3.   Number of girls to occupy the even places = 3.   Even places can be filled = P (3, 3) ways.   Number of boys = 4.   The remaining 4 places can be filled by 4 boys = P (4, 4) ways   144y the fundamental principle of counting:   The required number of seating arrangements   P(3, 3) x P(4, 4) = 3! x 4! = 6 x 24 = 144   ANSWER:144
<result>B</result>
It is required to seat 4 boys and 3 girls in a row so that the girls occupy the even places. How many such arrangements are possible?