Answer

Solution

UPSC Prelims

Mathematics

Theme:

Permutation and Combination / क्रमचय और संचय

Q60 2020, Permutation and Combination

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?

मूल्यवर्गों ₹50, ₹100, ₹200, ₹500 और ₹2,000 के साथ, एक समय में कम-से-कम तीन मूल्यवर्गों को लेते हुए, कितनी विभिन्न धनराशियाँ बनाई जा सकती हैं?

Explanation Please wait..

Total denominations 5

taking at least three denominations at a time

=> 3 Denominations , 4 Denomination , 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

व्याख्या Please wait..

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