Question

The total number of ways in which a beggar can be given at least one rupee from four $25$ paise coins and three $50$ paise coins and $2$ one rupee coins, is

• A. $54$
• B. $50$
• C. $52$
• D. none of these

Answer 1

Answer: (A)

$54$

Possibility of getting at least one rupee coin, any number of 50-paise coin, any number of 25-paise coin $=2\times 4\times 5$

$=40$

Possibility of getting at least two 50-paise coinds, any number of 25-paise coind $=2\times 5$

$=10$

Possibility of getting one 50-paise coin, at least two 25-paise coin $=1\times 3$

$=3$

Possibility of getting four 25-paise coins $=1$

$\therefore$ Required number of ways $=40+10+3+1$

$=54$