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about to only mathematics

A

69760

B

30240

C

99748

D

None

Text Solution

Verified by Experts

The correct Answer is:
A
Total number of five letters words formed from ten different letters `= 10 xx 10 xx 10 xx 10 xx 10 = 10^(5)`
Number of five letters words having no repetition
`= 10 xx 9 xx 8 xx 7 xx 6 = 30240`
`therefore` Number of words which have at least one letter repeated `= 10^(5) - 30240 = 69760`
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