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Question

Ten different letters of an alphabet are given. Words with five letters are

formed from these given letters. Then the number of words which have at

least one letter repeated is


  1. 69760

  2. 30240

  3. 99748

  4. 99700


Solution

The correct option is A

69760


Number of words in which all the 5 letters are repeated = 105 = 100000 and the number of words in which no letter is repeated are 10P5 = 30240.

Hence the required number of ways are 100000 - 30240 = 69760.

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