# discrete math functions pigeonhole princple How many multiples

discrete math
functions pigeonhole princple
How many multiples of 11 are in the set $\left\{1,2,3,..,901\right\}$ ?

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To find the number of multiples of 11 are in the set $\left\{1,2,3,..,901\right\}$ , we use the following result:
Number of multiples of number n from 1 to m is given by
m/n (integer division)
Using the above result we get,
Number of multiples of 11 are in the set $\left\{1,2,3,..,901\right\}$ i.e., number of multiples of number 11 from 1 to 901 is given by
901/11 (integer division) = 81.
$\left[Herem=901,n=11\right]$
Therefore there are 81 multiples of 11 are in the set $\left\{1,2,3,..,901\right\}$ .