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Aptitude · Q24

Permutation And Combination

Competitive Exams · Aptitude · question 24

Q24

Ten different letters of alphabet are given, words with 5 letters are formed from these given letters. Then, the number of words which have at least one letter repeated is:

A.
69760
Answer
B.
30240
C.
99748
D.
42386

Answer: Option A

Solution

Answer: Option A
Solution:
Number of words which have at least one letter replaced,
= Total number of words - total number of words in which no letter is repeated.
= 10516P5
= 100000 − 30240
= 69760