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How many different sums can be formed with the denominations Rs. 50, Rs. 100, Rs. 200, Rs. 500 and Rs. 2,000 taking at least three denominations at a time?1. 162. 153. 144. 10 |
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Answer» Correct Answer - Option 1 : 16 Given: Denominations 50, 100, 200, 500 and 2,000 Calculation: Let each denomination is single Total denominations = 5 According to the question: 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 way Total ways = 10 + 5 + 1 = 16 ∴ The answer is 16. |
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