Sarvajit

 A value that "lies outside" (is much smaller or larger than) most of the other values in a set of data. For example in the scores 25,29,3,32,85,33,27,28 both 3 and 85 are "outliers". 

https://web2.0calc.com/questions/counting-and-probability-question_3

This is the answer.

This is week 5 problem 2 of the counting probability course for aops right???

This is from the counting and probability course right guest?

All credit for my answer goes to aops

Marvin needs to take 5 right moves out of a total of 12, so ignoring the frog there are 12 choose 5 = 792 possible paths to 5,7.

The number of paths from 0,0 to 5,7 passing through 4,3 is the number of paths from 0,0 to 4,3 multiplied by the number from 4,3 to 5,7 , which is 7 choose 3* 5 choose 1 =175. There are thus 792 - 175 = 617 ways that Marvin can reach his destination.

This is the aops explanation.

OMG you are such a lifesaver... 256 was correct.

15 is not because my question is saying 4 different boxes, not 4 identical boxes @whymenotsmart, but thank you all for trying

The right answer is 12. 12 choose 4=495

495>365

36

9 chose 7

Thank you so much it is right!!!