A bag contains four one-rupee coins, two twenty-five paisa coins, and five ten-paisa coins. In how many ways can an amount, not less than Rs.1 be taken out from the bag? (Consider coins of the same denominations to be identical.)

When at least one one-rupee coin is selected, we can select any number of twenty-five coins and ten paisa coins. Then number of ways of such selection is 4 (2 + 1)(5 + 1) = 72 as we can select zero or more twenty-five paisa and ten paisa coins to ensure that amount selected is Rs.1 or more. 

But when none of one-rupee coins is selected we have to select all trventy-five paisa coins and ten paisa coins to ensure sum of Rs.1, which can be done only in one way.Then the total number of ways is 73.