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Using {1, 2, 3, 4,5} four digited numbers are formed without repetation at random. The probability that the number so formed is not divisible by 5 is

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$\frac{1}{5}$

$\frac{4}{5}$

$\frac{2}{5}$

$\frac{3}{5}$

answer is D.

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Detailed Solution

$1, 2, 3, 4, 5 n (S) = 5_{P_{4}}$

$n (A) = 4. {}^{4}P_{3}$

$P (A) = \frac{4. {}^{4}P_{3}}{{}^{5}P_{4}} = \frac{4}{5}$

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