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Question

If two different numbers are taken from the set 0,1,2,3,......,10; then the probability that their sum, as well as absolute difference, are both multiples of4, is.


A

1255

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B

1445

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C

755

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D

655

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Solution

The correct option is D

655


Explanation for the correct answer:

Finding the required probability:

Given,

Total number of ways =C211

=11!2!9![nCr=n!r!n-r!]=55

Favorable ways that their sum, as well as absolute difference, are both multiples of4, are (0,4),(0,8),(4,8),(2,6),(2,10),(6,10)

Therefore, the required probability =FavorablewaysTotalnumberofways

=655

Hence, the correct option is D.


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