MHT CET Mathematics question

MathematicsPermutations and CombinationsMHT CET

Suppose you have a suitcase with a number lock. The number lock has wheels each labelled with digits from to . The lock can be opened, if specific digits are arranged in a particular sequence with no repetition. Some how, you have forgotten this specific sequence of digits. You remember only the first digit which is . In order to open the lock, how many sequences of digits you may have to check with?

Answer: (B)

Solution

The first digit is fixed as , so the other three wheels use the remaining digits without repetition. First of the three places: ways,

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Question ID VK-027770