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Evaluate 4p2+4C24p3...

Evaluate 4p2+4C24p3

A.

18

B.

6

C.

-6

D.

-18

Correct answer is C

4p2+4C24p3

npr=n![nr]!andnCr=n![nr]!r!

= 4![42]!+4![42]!2!4![43]!=4!2!+4!2!2!4!1!

= 432!2!+432!2!2!43211!

12 + 6 - 24 = -6