Question:
Ten different letters are given. Words with five letters are formed from these given letters. The number of words which have at least one letter repeated is
Ten different letters are given. Words with five letters are formed from these given letters. The number of words which have at least one letter repeated is
Updated On: Oct 4, 2024
- 69760
- 30240
- 99748
- 43929
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The Correct Option is A
Solution and Explanation
The correct option is (A):Total number of words in which all 5 letters are repeated =\(10^{5}\)=100000
Total number of words in which letters are not repeated = \(^{10}P_{5}\) =30240
Total number of words which has one letter repeated = \(100000 - 30240\) = \(69760\)
Total number of words in which letters are not repeated = \(^{10}P_{5}\) =30240
Total number of words which has one letter repeated = \(100000 - 30240\) = \(69760\)
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