SATHEE: Permutations And Combinations Question 337

Permutations And Combinations Question 337

Question: Ten different letters of an alphabet are given, words with five letters are formed form these given letters. Then the number of words which have at least one letter repeated is

Options:

A) 69760

B) 30240

C) 99784

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

[a] Total number of words that can be formed $ =10^{5}. $ Number of words in which no letter is repeated $ {{=}^{10}}P_5. $ So, number of words in which at least one letter is repeated $ =10^{5}{{-}^{10}}P_5=69760. $

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Permutations And Combinations Question 337

Question: Ten different letters of an alphabet are given, words with five letters are formed form these given letters. Then the number of words which have at least one letter repeated is

Options:

Answer:

Solution:

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