How many coins to form the return value of 23?

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter15: Recursion
Section: Chapter Questions
Problem 6PE
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Coin Change Problem Simulation

Case Problem:

  • In a country there are only coin worth 3, 5 and 12.

    a) How many coins to form the return value of 23?

    1

    2

    3

    4

    5

    6

    7

    8

    9

    10

    11

    12

    13

    14

    15

    16

    17

    18

    19

    20

    21

    22

    23

    24

    25

    0

    0

    1

    0

    1

    2

    0

    2

    3

    2

    3

    1

    3

    4

    2

    4

    2

    3

    5

    3

    4

    3

    4

    2

    4

  • Column 23 is 4, means coins change value of 23 can be formed using coins 3, 5, and 12 with maximum 4 coins.

    Please Explain The Table in Details Why That Value can be got from?

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