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Permutations & Combinations

How many numb...

Question

How many numbers of 3 digits can be formed with the digits 1, 2, 3, 4, 5 (repetition of digits not allowed)?

A

125

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B

120

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C

60

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D

150

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Solution

The correct option is C 60
Three digits can be formed in
$^{5} P_{3} w a y s t h a t i s$
$\frac{5!}{(5 - 3)!} = 60$

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