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Q. 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?

Probaility

Solution:

$b=1, a=2,3, \ldots, 10 $
$b=2, a=4,6, \ldots, 10$
In this way, find the number of favourable events such that $a / b$ is an in integer.