Question: Can you help me with this probability question? A. Given the sequence (a,b,c,d,e,f,g), in how many ways can be organized into 5 bins on line

Can you help me with this probability question?

Can you help me with this probability question? A. Given the sequence

A. Given the sequence (a,b,c,d,e,f,g), in how many ways can be organized into 5 bins on line such that the literals remain in the same order? Example valid arrangements are (ab) () (cde) (f) (g) () (a) (be) (d) (efg) (a) (bc) (defg) ) O B. Two sorted sequences lengths 9 and 7 are given: (1,2,3,...9) and (a,b.c,d.e,f,g). We want to interleave them into a sequence of length 16 such that numbers 1-9 remain in relative order, and also literals a-g remain in relative order. How many ways are there to do this? Example valid sequences are la2bc34d56efg789 12345abc678de9fg albcdef23456789g

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