Question

In how many ways can an amount of Rs. 100 be paid using exactly 27 coins of denominations Rs. 1, Rs. 2, Rs. 5, such that atleast one coin of each denomination is used

Answer 1

Answer:

Total 3 Ways

Step-by-step explanation:

Let say Coins of Rs 1 , Rs 2  be  X  & Y

the Coins of Rs 5 Would be  27 - X - Y

Value of coins = X + 2Y  + 5(27 - X - Y)

=  135 - 4X - 3Y

135 - 4X - 3Y  = 100

=> 4X + 3Y  = 35

possible Solutions

X       Y     Z

2       9      16

5       5      17

8       1       18

Total 3 Ways