How many different sums can be formed with the denominations 50, 100,200, 500 and 2,000 taking at least three denominations at a time?
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Answer:
The answer is 16.
Step-by-step explanation:
Given :-
Denominations 50, 100, 200, 500, 2000.
Calculation :-
Let each denomination is single
Total denominations = 5
According to questions,
Taking at least three denominations at a time
=> 3 denominations, 4 denominations, 5 denominations
=> 3 denominations out of 5 in ^5C3 = 10 ways
=> 4 denominations out of 5 in ^5C4 = 5 ways
=> 5 denominations out of 5 in ^5C5 = 1 ways
Total ways = 10 + 5 + 1 = 16
Therefore, answer is 16.
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