(a) Of the 25-1 = 24 = 16 compositions of 5, determine how many start with (i)...

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(a) Of the 25-1 = 24 = 16 compositions of 5, determine how many start with
(i) 1.
(ii) 2.
(iii) 3.
(iv) 4.
(v) 5.
(b) Provide a combinatorial proof for the result in part (a) of Exercise 2.
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