a) Among the strictly increasing sequences of integers that start with 1 and end with 7 are:
i) 1, 7
ii) 1, 3, 4, 7
iii) 1, 2, 4, 5, 6, 7
How many such strictly increasing sequences of integers start with 1 and end with 7?
b) How many strictly increasing sequences of integers start with 3 and end with 9?
c) How many strictly increasing sequences of integers start with 1 and end with 37? How many start with 62 and end with 98?
d) Generalize the results in parts (a) through (c).
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