Two numbers ' \( a \) ' and ' \( b \) ' are selected (successively without replacement in that o...

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Two numbers ' \( a \) ' and ' \( b \) ' are selected (successively without replacement in that order) from the integers 1 to 10 . What is the probability that \( \frac{a}{b} \) will be an integer?
(a) \( \frac{17}{45} \)
(b) \( \frac{1}{5} \)
(c) \( \frac{19}{90} \)
(d) \( \frac{8}{45} \)
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