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In a (6)-key password, the first (3) keys are chosen from (7) letters without repetition and the last (3) keys from (4) symbols with repetition allowed. How many passwords are possible?

Answer and explanation

Correct answer: (7 \times 6 \times 5 \times 4^3)

Letter choices decrease, while symbols give (4^3) because repetition is allowed. Read the repetition rule for each block separately.

Related tags

CountingPasswordBlocksFundamental Principle Of CountingPermutations And CombinationsMathematicsClass 11 Mcq

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