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How many different sums can be formed with the denominations 50, 100, 200, 500 and 2,000

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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?

(a) 16

(b) 15

(c) 14

(d) 10

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1 Answer

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Best answer

Correct option is (a) 16

Different sums that can be obtained by taking at least 3 out of 5 denominations are - 

5C3 + 5C4 + 5C5 = 10 + 5 + 1 = 16.

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