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

[EX Q]: Problem: in how many ways 6 boys and 4 girls can be seated in a row so that they are alternative ?
Options: a ) 14420 , b ) 12620 , c ) 17280 , d ) 21200 , e ) 24560
[EX A]: c

[EX Q]: Problem: preethi has 6 flavors of ice cream in his parlor . how many options are there for dorathy to pick a one - flavor , two - flavor , 3 - flavor , 4 - flavor , 5 flavor or 6 flavor order ?
Options: a ) 26 , b ) 36 , c ) 64 , d ) 67 , e ) 63
[EX A]: e

[EX Q]: Problem: a jar contains only red , yellow , and orange marbles . if there are 3 red , 5 yellow , and 4 orange marbles , and 2 marbles are chosen from the jar at random without replacing any of them , what is the probability that 2 yellow , 1 red , and no orange marbles will be chosen ?
Options: a ) 1 / 60 , b ) 1 / 45 , c ) 2 / 45 , d ) 3 / 22 , e ) 6 / 22
[EX A]:
e