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Question

A delegation of four students is to be selected from a total of 12 students.In how many ways can the delegation be selected If two particular students do not wish to be together in the delegation.

A
500
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B
$870$
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C
250
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D
175
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Solution

The correct option is B $870$
4 Student of 12 students
Case 1 : 2 are always exclded
4 Student of 10 Students
Number of ways
=10C4=210
Case 2 : Either of One is included
=2×11C4=2×11×10×9×84×3×2×1=660
Therefore Total ways
=660+210
=870 Ways

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