How many different positive integers less than 1000 are divisible by 7 but not 11? how do i do this without explicitly checking each multiple of 7 or 11 less than 1000?
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Originally Posted by jmedsy How many different positive integers less than 1000 are divisible by 7 but not 11? how do i do this without explicitly checking each multiple of 7 or 11 less than 1000? Use the floor function: $\displaystyle \left\lfloor {\frac{{1000}}{7}} \right\rfloor - \left\lfloor {\frac{{1000}}{{77}}} \right\rfloor $.
Originally Posted by Plato Use the floor function: $\displaystyle \left\lfloor {\frac{{1000}}{7}} \right\rfloor - \left\lfloor {\frac{{1000}}{{77}}} \right\rfloor $. thanks, i just came up with that
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