A broken calculator can double any number or permute its digits (but 0 cannot go up front). Can we start with number 1 and obtain 78 by a series of these operations

Question

Mathematics

Dana Fleming

28 July, 11:58

A broken calculator can double any number or permute its digits (but 0 cannot go up front). Can we start with number 1 and obtain 78 by a series of these operations

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Answers (1)

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Elisabeth Martin · Answer 1

Answer: it's impossible to obtain 78

Step-by-step explanation: Since the calculator can double any number or permute its digits except 0

starting with number 1

1, 2, 4, 8, 16, 32, 64, 128

Therefore, it's impossible to obtain 78 by a series of these operations