Question

68. Suppose you have sufficient amount
of rupee currency in three denominations
:Rs. 1, Rs. 10 and Rs. 50. In how many
different ways can you pay a bill of Rs.
107?
​

Answer 1

Answer:

18

Step-by-step explanation:

I am going to make a list of possible ways

1) 50 + 50 + 1 + 1 + 1 + 1 + 1 + 1 + 1

2) 50 + 10 +10+10+10+10+ 1 + 1 + 1 + 1 + 1 + 1 + 1

3) 50 + 10 + 10+10+10+ (17 *1)       ∵17*1 means we use 1 rupees 17 times

4) 50 + 10 + 10 + 10 + 27*1

5) 50 + 10 +10 + 37*1

6) 50 +10 + 47*1

7) 50 + 57*1

8) 107*1

9) 10*10 + 7*1             here 10*10 mean we use 10 rupees 10 times

10) 10*9 + 17*1

11) 10*8 + 27*1

12) 10*7 + 37*1

13) 10*6 + 47*1

14) 10*5 + 57*1

15) 10*4 + 67*1

16) 10*3 + 77*1

17) 10*2 + 87*1

18) 10*1 + 97*1

So there are total 18 ways to pay for bill

If we have to use all types of currency then there are 5 ways (first five).

I hope it helpful.