Question

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.)

• A. $71$
• B. $72$
• C. $73$
• D. $80$

Answer 1

The correct option is C $73$

If no $1$ rupee coin is selected:
We need to select all other coins to make Rs.$1$. Hence, it can be done in $1$ way.
If we select at least one $1$ rupee coin:
The number of ways of selecting the others $=(3+1).(2+1).(5+1)=72$.
Hence, answer $=1+72=73$