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A letter lock consists of three rings ea...

A letter lock consists of three rings each marked with 10 different letters. In how many ways it is possible to make an unsuccessful attempt to open the lock?

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To solve the problem of how many unsuccessful attempts can be made to open a letter lock consisting of three rings, each marked with 10 different letters, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Structure of the Lock**: - The lock has 3 rings. - Each ring has 10 different letters. ...
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A number lock on a suitcase has three wheels each labelled with ten digits 0 to 9. If opening of the lock is a particular sequence of three digits with no repeats, how many such sequences will be possible? Also, find the number of unsuccessful attempts to open the lock.

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Knowledge Check

  • A letter look consists of three rings marked with 15 different letters. If N denotes the number of ways in which it is possibel to make unsuccessful attempts to open lock, then

    A
    482 divides N
    B
    N product of 3 distint prime no.
    C
    N is product of 4 distinct prime no.
    D
    None of these
  • In how many ways can mn letters be posted in n letter-boxes?

    A
    `(mn)^(n)`
    B
    `m^(mn)`
    C
    `n^(mn)`
    D
    none of these
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