Question

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

• A. $54$
• B. $53$
• C. $51$
• D. $48$

Answer 1

The correct option is A $54$

The following four cases are there:

(i) At least one rupee coin and any number of other coins is $2\times 4\times 5=40$ ways

(ii) At least two $50p$ coins and any number of $25p$ coins $=2\times 5=10$ ways

(iii) One $50p$ coin $+$ at least two $25p$ coins $=1\times 3=3$ ways.

(iv) Four $25p$ coins in one way only

$\therefore$ total of ways $=54$