Question

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

Answer 1

Answer:

18

Step-by-step explanation:

Given  

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

1. 7 ones, 5 tens 1 fifty

2. 7 ones, 2 fifties

3. 7 ones 10 tens

4. 17 ones 9 tens

5. 17 ones 4 tens 1 fifty

6. 27 ones 8 tens

7. 27 ones, 3 tens, 1 fifty

8. 37 ones, 2 tens, 1 fifty

9. 37 ones, 7 tens

10. 47 ones, 1 ten, 1 fifty

11. 47 ones, 6 tens

12. 57 ones, 1 fifty

13. 57 ones, 5 tens

14. 67 ones, 4 tens

15. 77 ones, 3 tens

16. 87 ones, 2 tens

17. 97 ones, 1 ten

18. 107 ones

So it can be done in 18 ways.

Answer 2

Answer:

in 18 ways bill of Rs. 107 can be paid

Step-by-step explanation:

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

of Rs. 107

We have to pay a bill of Rs 107

so Rs 7 Need to be paid with 1 rs denominations only.

1st Way  use  2  Rs 50  &  7   Rs 1  

Next 6 way  : use 1 Rs 50  &  ( 5 Rs 10 &  7   Rs 1    ,  4 Rs 10 &  17   Rs 1   ,3 Rs 10 &  27   Rs 1    ,  2 Rs 10 & 37   Rs 1,   1 Rs 10 &  47   Rs 1    ,  57   Rs 1 )

Next 11 Ways  : Use 0  Rs 50  : 10 Rs 10  & 7 Rs 1     to  0 Rs 10  & 107 Rs 1)

1  + 6  + 11 = 18 Ways

in 18 ways bill of Rs. 107 can be paid