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

Question

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

Infinity Learn · Accepted Answer

The following four cases are there:(A) At least one one rupee coin and any number of other coins $$=$$ $$2$$ × $$4$$ × $$5$$ $$=$$ $$40$$ ways.(B) At least two $$50$$ p. coins and any number of $$25$$ p. coins $$=$$ $$2$$ × $$5$$ $$=$$ $$10$$ ways.(C) One $$50$$ p. coin and at least two $$25$$ p. coins $$=$$ $$1$$ × $$3$$ $$=$$ $$3$$ ways.(D) Four $$25$$ p. coins in one way only ∴ total $$=$$ $$54$$.

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

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