18
6
-6
-18
Correct answer is C
\(4p_2 + 4C_2 - 4p_3\)
\(np_r = \frac{n!}{[n-r]!} and nC_r = \frac{n!}{[n-r]!r!} \)
= \(\frac{4!}{[4-2]!} + \frac{4!}{[4-2]!2!} - \frac{4!}{[4-3]!} = \frac{4!}{2!} + \frac{4!}{2!2!} - \frac{4!}{1!}\)
= \(\frac{4*3*2!}{2!} + \frac{4*3*2!}{2!2!} - \frac{4*3*2*1}{1!}\)
12 + 6 - 24 = -6
Simplify \(\frac{1}{(1-\sqrt{3})^{2}}\)...
Simplify \(\frac{\sqrt{128}}{\sqrt{32} - 2\sqrt{2}}\)...
If \(y = 4x - 1\), list the range of the domain \({-2 \leq x \leq 2}\), where x is an integer....
Find the unit vector in the direction of the vector \(-12i + 5j\)...
Given that a = 5i + 4j and b = 3i + 7j, evaluate (3a - 8b). ...
Given that \(\frac{3x + 4}{(x - 2)(x + 3)}≡\frac{P}{x + 3}+\frac{Q}{x - 2}\),find the value of...