Module 8: Permutations, Combinations, and the Binomial Theorem

 

Connect

 

Lesson 4 Assignment


assessment

Complete the Lesson 4 Assignment that you saved in your course folder at the beginning of this lesson.

 

course folder Save your responses in your course folder.

 

Project Connection


assessment

Go to Module 8 Project: Creating the Ultimate Password. Complete Activity 4: Tricky Passwords. Also complete the Conclusion.

 

course folder Save your responses in your course folder. When you are finished, submit the entire project to your teacher.

 

Going Beyond

 

The binomial theorem can be explained geometrically up to a power of 3. Explain how the following is representative of the binomial theorem. If you need help, open Going Beyond Hint.

 

 

This is a multipart diagram with three rows and three columns. The top row shows a red line and a shorter blue line in the first column and the same length red and blue lines joined to form one line in the third column. The second row shows a red square, two purple rectangles, and a small cube in the first column. In the third column these shapes are arranged to form a larger square. The red square has a purple rectangle placed on its bottom and right sides with the blue square filling the space between their ends. The third row has a large red block, three purple flats, three dark purple rods, and a cube in the first column. In the second column these shapes are placed as an exploded diagram of a larger cube. In the third column these shapes are shown to form a cube. The red block has purple flats placed on its right, top, and back sides. The dark purple rods are placed where these flats meet and the blue cube is placed in the space at the ends of the rods.

course folder Save your responses in your course folder.