Answer :
The number of ways of selecting two positive integers less than 100 is [tex]4851[/tex].
Combination :
We have to find number of ways a set of two positive integers less than 100 be chosen.
So that , we have to find combination.
Number of ways of selecting set of two positive integers are,
[tex]=^{99} C_{2}\\\\=\frac{99!}{2!*97!} =\frac{99*98}{2}=4851[/tex]
Thus, the number of ways of selecting two positive integers less than 100 is [tex]4851[/tex].
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