A dollar can be changed in how many ways?
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293 way...
I am not sure....but hope it will be correct
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Answer. Yes, if you count a one-dollar coin in change. Raymond Hettinger listed all 293 possibilities, appended at end of column. Michael Caulfield counted up the 292 possibilities other than a one-dollar coin as follows:
Given that 1 half dollar will be used, there are 50 combinations:
another half dollar (1 way)
2 quarters (1 way)
1 quarter with: 2 dimes (2 ways), 1 dime (4), or 0 dimes (6).
0 quarters with: 5 dimes (1), 4 (3), 3 (5), 2 (7), 1 (9), or 0 (11).
Given that no half dollars will be used, there are 242 combinations:
4 quarters (1 way)
3 quarters with: 2 dimes (2 ways), 1 (4), or 0 (6).
2 quarters with: 5 dimes (1), 4 (3), 3 (5), 2 (7), 1 (9), or 0 (11).
1 quarter with: 7 dimes (2), 6 (4), 5 (6), 4 (8), 3 (10), 2 (12), 1 (14), 0 (16)
0 quarters with: 10 dimes (1), 9 (3), 8 (5), 7 (7), 6 (9), 5 (11), 4 (13), 3 (15), 2 (17), 1 (19), 0 (21).
Given that 1 half dollar will be used, there are 50 combinations:
another half dollar (1 way)
2 quarters (1 way)
1 quarter with: 2 dimes (2 ways), 1 dime (4), or 0 dimes (6).
0 quarters with: 5 dimes (1), 4 (3), 3 (5), 2 (7), 1 (9), or 0 (11).
Given that no half dollars will be used, there are 242 combinations:
4 quarters (1 way)
3 quarters with: 2 dimes (2 ways), 1 (4), or 0 (6).
2 quarters with: 5 dimes (1), 4 (3), 3 (5), 2 (7), 1 (9), or 0 (11).
1 quarter with: 7 dimes (2), 6 (4), 5 (6), 4 (8), 3 (10), 2 (12), 1 (14), 0 (16)
0 quarters with: 10 dimes (1), 9 (3), 8 (5), 7 (7), 6 (9), 5 (11), 4 (13), 3 (15), 2 (17), 1 (19), 0 (21).
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