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Question
Ten different letters of alphabet are given. Words with five letters are formed from these given letters. Then the number of words which have atleast one letter repeated is ______.
Options
69,760
30,240
99,748
99,784
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Solution
Ten different letters of alphabet are given. Words with five letters are formed from these given letters. Then the number of words which have atleast one letter repeated is 69,760.
Explanation:
Number of 5 letters words (with the condition that a letter can be repeated) = 105 = 1,00,000
Again number of words using 5 different letters is 10P5.
= 1,00,000 – 30,240
= 69,760
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