In yet another demonetization, the government wants to issue exactly X denominations of notes (in whole numbers) such that by using no more than 3 notes which may be of the same value, a citizen can pay all amounts ranging from 1 to 36 rupees both inclusive. For the minimum value of X for which it is possible, find the sum of the values of these denominations?
Answers
Denominations of note can be 1 , 4 & 7 , X = 3 , Sum of value of denominations = 1 + 4 + 7 = 12
Step-by-step explanation:
Dnominatons of note can be
1 , 4 & 7
X = 3
Sum of value of denominatons = 1 + 4 + 7 = 12
1 = 1
2 = 1 + 1
3 = 1 + 1 + 1
4 = 4
5 = 4 + 1
6 = 4 + 1 + 1
7 = 4 + 1 + 1 + 1
8 = 4+4
9 = 4+4 + 1
10 = 4+4 + 1 + 1
11 = 4+4 + 1 + 1 + 1
12 = 4+4+4
13 = 4+4+4 + 1
14 = 4+ 4+4 + 1 + 1
15 = 4+ 4+ 4 + 1 + 1 + 1
16 = 7 + 4+4 + 1
17 = 7 + 4+4 + 1 + 1
18 = 7 + 4+4 + 1 + 1 + 1
19 = 7 + 4+4+4
20 = 7 + 4+4+4 + 1
21 = 7 + 4+ 4+4 + 1 + 1
22 = 7 + 4+ 4+ 4 + 1 + 1 + 1
23 = 7 + 7 +4+4 + 1
24 = 7 + 7 +4+4 + 1 + 1
25 = 7 + 7 +4+4 + 1 + 1 + 1
26 = 7 + 7 +4+4+4
27 = 7 +7 +4+4+4 + 1
28 = 7 + 7 +4+ 4+4 + 1 + 1
29 = 7 + 7 +4+ 4+ 4 + 1 + 1 + 1
30 = 7 + 7+ 7 +4+4 + 1
31 = 7 + 7+ 7 +4+4 + 1 + 1
32 = 7 + 7+ 7 +4+4 + 1 + 1 + 1
33 = 7 + 7+ 7 +4+4+4
34 = 7 +7+ 7 +4+4+4 + 1
35 = 7 + 7+ 7 +4+ 4+4 + 1 + 1
36 = 7 + 7+ 7 +4+ 4+ 4 + 1 + 1 + 1
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