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Ten different alphabets are given. Words containing five alphabets are to be formed from them. Find the number of words which have exactly one alphabet repeats

Ten different alphabets are given. Words containing five alphabets are to be formed from them. Find the number of words which have exactly one alphabet repeats

Grade:12th pass

1 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
5 years ago
Dear student

total letters 5,repeat 1
therefore unique letters 4

total permutations(5!)/(2!)
but total ways of selecting 4 letters (10C4)
also 4 ways of making one letter repeat

therefore, total ways =4* ((5!)/(2!)) *​(10C4)

Regards

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