how many different sums can be formed with denomination Rs 50, Rs 100, Rs 200 ,Rs 500 and Rs 2000 taking at least three denominations at a time? A) 16 B)15 C)14 D)10
Answers
Answer:
2, 5, 10 and 25 only, using at least one note of each kind, then how many notes will be used?
Step-by-step explanation:
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Given : denominations 50, 100, 200, 500 and 2,000
To Find : How many different sums can be formed taking at
least three denominations at a time
Solution:
Assuming Each denomination is single
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
option A is correct
All possible cases : Total
50 100 200 250
50 100 500 650
50 100 2000 2150
50 200 500 750
50 200 2000 2250
50 500 2000 2550
100 200 500 800
100 200 2000 2300
100 500 2000 2600
200 500 2000 2700
Total
50 100 200 500 850
50 100 200 2000 2350
50 100 500 2000 2650
50 200 500 2000 2750
100 200 500 2000 2800
50 100 200 500 2000 2850
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