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Question

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


A

54

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B

50

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C

52

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D

None of these

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Solution

The correct option is A

54


Explanation for correct option

Number of ways of getting at least one rupee coin, random number of 50-paise coin, random number of 25-paise coin =2×4×5=40

Number of ways of getting at least two 50-paise coins, random number of 25-paise coins =2×5=10

Number of ways of getting one 50-paise coin and at least two 25-paise coin=1×3=3

Number of ways of getting four 25-paise coins =1

Total number of ways =40+10+3+1=54

Hence, the correct option is A


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