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  • In how many different ways can the ATM serve a customer who gives 500 rupee notes as her preference?Option: 1 7

In how many different ways can the ATM serve a customer who gives 500 rupee notes as her preference?

Option: 1

7


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

The question asks how many different ways the ATM can serve a customer who gives 500 rupee notes as her preference. The ATM dispenses only 500, 200, and 100 rupee notes, and since 500 rupee notes are the preference, it has to dispense more 500 rupee notes than the other two notes combined.

There are three cases to consider:

  • Case 1: Rs.4000 is dispensed as 500 rupee notes. This means that 8 500 rupee notes are dispensed. The remaining 1000 rupees can be dispensed in a variety of ways, as shown below:
    • 400 rupees in 100 rupee notes and 600 rupees in 200 rupee notes.
    • 200 rupees in 100 rupee notes and 800 rupees in 200 rupee notes.
    • 1000 rupees in 5 200 rupee notes.
  • Case 2: Rs.4500 is dispensed as 500 rupee notes. This means that 9 500 rupee notes are dispensed. The remaining 500 rupees can be dispensed in a variety of ways, as shown below:
    • 500 rupees in 100 rupee notes.
    • 300 rupees in 100 rupee notes and 200 rupees in 200 rupee notes.
    • 100 rupees in 100 rupee notes and 400 rupees in 200 rupee notes.
  • Case 3: Rs.5000 is dispensed as 500 rupee notes. This means that 10 500 rupee notes are dispensed. There is only one way to dispense the remaining 0 rupees.

Therefore, there are a total of 7 different ways the ATM can serve a customer who gives 500 rupee notes as her preference.

 

Posted by

avinash.dongre

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