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466

How many ways can 12 people be divided into three groups of 2, 7 and 3 in that order?

  • A. 7920
  • B. 792
  • C. 187
  • D. 42
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467

Given that \(P = \begin{pmatrix} 4 & 9 \end{pmatrix}\) and \(Q = \begin{pmatrix} -1 & -2 \\ 3 & 2 \end{pmatrix}\). Which of the following operations is possible?

  • A. \(QP\)
  • B. \(P^{2}\)
  • C. \(Q^{2}P\)
  • D. \(PQ\)
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468

Given that \(P = \begin{pmatrix} 4 & 9 \end{pmatrix}\) and \(Q = \begin{pmatrix} -1 & -2 \\ 3 & 2 \end{pmatrix}\). Evaluate \(|Q|P\).

  • A. \(\begin{pmatrix} 16 & 36 \end{pmatrix}\)
  • B. \(\begin{pmatrix} 8 & 18 \end{pmatrix}\)
  • C. \(\begin{pmatrix} 8 & 0 \end{pmatrix}\)
  • D. \(\begin{pmatrix} 1 & 2 \end{pmatrix}\)
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469

The equation of a circle is given by \(x^{2} + y^{2} - 4x - 2y - 3\). Find the radius and the coordinates of its centre.

  • A. \(3, (-1, 2)\)
  • B. \(2\sqrt{2}, (2, -1)\)
  • C. \(2\sqrt{2}, (2, 1)\)
  • D. \(9, (2, 1)\)
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470

Simplify \(\frac{^{n}P_{3}}{^{n}C_{2}} + ^{n}P_{0}\)

  • A. n - 5
  • B. n - 3
  • C. 2n - 1
  • D. 2n - 3
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