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nCr Definitions and Properties

The number of...

Question

The number of 4 digit numbers that can be formed with 0,1,2,3,5 which are divisible by 2 or 5 is

A

84

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B

60

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C

120

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D

53

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Solution

The correct option is B 60
If 0 is in units place (divisible by both 2 and 5) in $^{4} P_{3} = 24.$
If 2 is in units place (divisible by 2) in $^{4} P_{3} -^{3} P_{2} = 18.$
If 5 is in units place (divisible by 5) in $^{4} P_{3} -^{3} P_{2} = 18.$
therefore required number of numbers = 60

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