The number of odd numbers lying between $$40000$$ and $$70000$$ that can be made from the digits $$0$$, $$1$$, $$2$$, $$4$$, $$5$$, $$7$$ if digits can be repeated in the same number is

Question

Infinity Learn · Accepted Answer

The numbers are of five digits having $$4$$ or $$5$$ in ten thousand’s place and $$1$$ or $$5$$ in unit’s place and the remaining digits are any of the given six digits.∴ Number of ways to fill ten thousand’s place $$=2P1=2Number$$ of ways to fill unit’s place $$=2P1=2Number$$ of ways to fill other three places $$=$$ $$63$$.∴ Required number of numbers $$=$$ $$2$$ × $$2$$ × $$63$$ $$=$$ $$864$$.

The number of odd numbers lying between 40000 and 70000 that can be made from the digits 0, 1, 2, 4, 5, 7 if digits can be repeated in the same number is

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material