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Q14E

Expert-verifiedFound in: Page 413

Book edition
7th

Author(s)
Kenneth H. Rosen

Pages
808 pages

ISBN
9780073383095

**In how many ways can a set of two positive integers less than 100**** be chosen?**

There are 4851 ways can a set of two positive integers less than 100 be chosen.

Set positive integer.

**A combination is a selection of items from a set that has distinct members.**

**Formula:**

**${}_{{\mathbf{n}}}{{\mathbf{C}}}_{{\mathbf{r}}}{\mathbf{=}}\frac{\mathbf{n}\mathbf{!}}{\mathbf{r}\mathbf{!}\mathbf{(}\mathbf{n}\mathbf{-}\mathbf{r}\mathbf{)}\mathbf{!}}{\mathbf{\mid}}$**

A set of two positive integers less than 100 be chosen as:

$\begin{array}{r}C(99,2)=\frac{99!}{(2!\times 97!)}\\ C(99,2)=4851\end{array}$

Thus, there are 4851 ways can a set of two positive integers less than 100 be chosen.

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