Questions

• Permutations and Combinations Solve problems on the permutation of distinct objects without repetition

  在一個有12個男生和7個女生的班級中，要選出7名成員排成一列。如果這一列必須包含4個男生和3個女生，且任何兩個女生不能站在一起，可以形成多少種不同的排列方式？

  2024

• More About Trigonometry Understand the angle between a line and a plane, and the angle between 2 planes

  在圖中，$A B C D E F G H$ 是一個長方體。以下哪些是正確的？ I. $AG$ 與平面 $BCGH$ 之間的角是 $\angle AGB$ II. $GD$ 與平面 $CDHE$ 之間的角是 $\angle GDE$。 III. 平面 $BCEF$ 與平面 $ABCD$ 之間的角是 $\angle ECD$。

  

  2024

• Laws of Integral Indices inter-convert between simple binary/hexadecimal numbers to decimal numbers

  \( \mathrm{BE0000000065}_{16} =\)

  2024

• Laws of Integral Indices inter-convert between simple binary/hexadecimal numbers to decimal numbers

  \( \mathrm{AE0000002013}_{16} = \)

  2024

• Laws of Integral Indices inter-convert between simple binary/hexadecimal numbers to decimal numbers

  \( \mathrm{AF0000002014}_{16} = \)

  2024

• Laws of Integral Indices inter-convert between simple binary/hexadecimal numbers to decimal numbers

  \(8 \times 2^{9} + 2^{7} + 6 \times 2^{4} - 2^{4} =\)

  2024

• Laws of Integral Indices inter-convert between simple binary/hexadecimal numbers to decimal numbers

  \(5 \times 2^{11} + 2^{10} + 3 \times 2^{5} - 2^{5} =\)

  2024

• Laws of Integral Indices inter-convert between simple binary/hexadecimal numbers to decimal numbers

  \(9 \times 2^{8} + 2^{6} + 7 \times 2^{2} - 2^{2} =\)

  2024

• Laws of Integral Indices inter-convert between simple binary/hexadecimal numbers to decimal numbers

  \[ 12 \times 16^{13} + 19 \times 16^{12} + 16^{3} + 19 = \]

  2024

• Laws of Integral Indices inter-convert between simple binary/hexadecimal numbers to decimal numbers

  \[ 15 \times 16^{8} + 23 \times 16^6 + 16^5 + 23 \]

  2024