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garik1379 [7]
2 years ago
6

In how many ways can two integers be selected from 60 consecutive positive integers so that their sum is even?

Mathematics
1 answer:
padilas [110]2 years ago
4 0

Using the combination formula, it is found that the integers can be chosen in 870 ways.

<h3>What is the combination formula?</h3>

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by:

C_{n,x} = \frac{n!}{x!(n-x)!}

The resulting sum will be even if both numbers are even(2 from a set of 30) or if both numbers are odd(also 2 from a set of 30), hence:

T = 2C_{30,2} = 2\frac{30!}{2!28!} = 870

The integers can be chosen in 870 ways.

You can learn more about the combination formula at brainly.com/question/25821700

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