# discrete math functions pegeonhole principle How many multiples of

discrete math
functions pegeonhole principle
How many multiples of 6 are in the set $\left\{171,172,173,..,286\right\}$ ?

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Ferrito90gn

Given set is $\left\{171,172,173,..,286\right\}$ .
We have to find the number of multiple of 6 in the given set.
The given set have 116 elements.
According to pigeonhole principle
n=116 and m=6
then
$⌊\frac{n}{m}⌋=⌊\frac{116}{6}⌋$
$=⌊19.16⌋$
$=19$
Therefore, there are 19 multiple of 6 in the given set $\left\{171,172,173,..,286\right\}$ .