In this task, you need to provide the correct option for a given problem on probability from the provided options.

Problem: in how many ways 7 boys and 7 girls can be seated in a row so that boys and girls are alternate ? 
Options: a ) 50803200 , b ) 50328000 , c ) 50003280 , d ) 50703200 , e ) 50603200
a

Problem: in how many ways 4 boys and 4 girls can be seated in a row so that boys and girls are alternate ? 
Options: a ) 1152 , b ) 1987 , c ) 2012 , d ) 1856 , e ) 2546
a

Problem: how many different ways can 2 students be seated in a row of 7 desks , so that there is always at least one empty desk between the students ? 
Options: a ) 2 , b ) 3 , c ) 30 , d ) 6 , e ) 12

c

