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MathNet 2016-part-05 — 184 problems (EN–VI) Question 120

Math Olympiad Vault · MathNet 2016-part-05 — 184 problems (EN–VI)

Question 120

We must choose a seven-character password that contains at least one letter and at least one digit. We may choose among the characters $A, B, C, G, J, M, R, Z$ and $3$.

a) How many possible choices of password are there if the characters may not be repeated?

b) How many possible choices of password are there if the characters may be repeated?