discrete math

functions pegeonhole principle

How many multiples of 6 are in the set $\{171,172,173,..,286\}$ ?

Kali Thomas
2022-04-14
Answered

discrete math

functions pegeonhole principle

How many multiples of 6 are in the set $\{171,172,173,..,286\}$ ?

You can still ask an expert for help

Ferrito90gn

Answered 2022-04-15
Author has **12** answers

Given set is $\{171,172,173,..,286\}$ .

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

$\lfloor \frac{n}{m}\rfloor =\lfloor \frac{116}{6}\rfloor$

$=\lfloor 19.16\rfloor$

$=19$

Therefore, there are 19 multiple of 6 in the given set $\{171,172,173,..,286\}$ .

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