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Q14E

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Discrete Mathematics and its Applications
Found in: Page 413
Discrete Mathematics and its Applications

Discrete Mathematics and its Applications

Book edition 7th
Author(s) Kenneth H. Rosen
Pages 808 pages
ISBN 9780073383095

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Short Answer

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.

See the step by step solution

Step by Step Solution

Step 1: Given data

Set positive integer.

Step 2: Concept of Combination

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

Formula:

nCr=n!r!(nr)!

Step 3: Calculation to find a set of two positive integers

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

C(99,2)=99!(2!×97!)C(99,2)=4851

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

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