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Home  >>  CBSE XI  >>  Math  >>  Permutations and Combinations
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How many 3-digit numbers can be formed from the digits 1,2,3,4 and 5 assuming repetition of digits is allowed

$\begin{array}{1 1}(A)\;135\\(B)\;125\\(C)\;150\\(D)\;175\end{array} $

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There are five digits 1,2,3,4 and 5.Every digit can be selected any number of times.Hence we can select first digit 5 times.The second digit 5 times and the third digit 5 times.
Hence the number of ways in which the selection of three digits can be made
$\Rightarrow 5\times 5\times 5$ ways
$\Rightarrow 125$ ways
Hence (B) is the correct answer.
answered May 13, 2014 by sreemathi.v

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