Four 25 paise coins, three 50 paisa coins, and two one rupee coins can all be used to offer a beggar at least one rupee in the following ways:

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answer is A.

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Detailed Solution

Concept: Find the total number of possible ways to give the beggar money, either all of it or some of it. The number of ways in which the total is less than one rupee is deducted.
There are two one rupee coins, three 50 paise coins, and four 25 paise coins, according to the information provided.
By multiplying the options for the coins, it is possible to calculate the total number of ways to give the beggar some or no money.
There are five possible combinations from the four 25 paise coins, including none, one, two, three, and four coins.
Similar to this, there are four different ways to donate three 50 paise.
The one rupee coin can be given in three different ways.
Thus, multiplying the numbers 5, 4, and 3 will result in the total number of methods to give money to beggars.
Number of ways

The coin denominations of 0, 25, 50, and 2 rupees have total amounts that are less than one rupee.
The number of ways for a rupee denomination of 0 is 1.
One coin of denomination 25 paisa is the only one that can be used.
There are two ways to pay with 50 paise: one 50 paise coin and two 25 paise coins.
Three coins each worth 25 paise, one 50 paise coin, and one 25 paise coin are options for the 75 paise denomination.
By deducting

ways from 60, we get at

.
Thus, there are a total of 54 different methods to offer a beggar at least one rupee using four 25-paise coins, three 50-paisa coins, and two 1-rupee coins.
Hence, option 1 is correct.

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