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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?

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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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