FRIDAY'S CLASS:
April 26TH 2007
MORNING:
First thing we started off with was a quiz that was on counting. The first question dealt with 3 positions with ten people and how they are arranged. we came up with 10*9*8 because there are ten people that can have one position, after that nine people can be assigned the second position since one is already assigned. And 8 because there are 8 people that can be in the third position. The second question was about how many words can be generated with the word CALCULUS. Since there are 8 letters it should be 8! However, there are two L's, two U's, and two C's which are all non-distinguishable objects because we can't tell the difference between the doubles. So, it is 8!/ 2!2!2!. 2! are the U's, L's, and C's since we can't tell them apart. Question 3 the answer is (7-1)! which is equivalent to 720. That's because since 7 people are sitting in a circle and one person could be the point so 6 others sit around. Question 4 the answer is 4!2!2!2!2! because there are four couples that could be arranged and two people in the four couples and they too can be rearranged. The answer for question five is 1152 because if the men and women alternate then it would look like this
April 26TH 2007
MORNING:
First thing we started off with was a quiz that was on counting. The first question dealt with 3 positions with ten people and how they are arranged. we came up with 10*9*8 because there are ten people that can have one position, after that nine people can be assigned the second position since one is already assigned. And 8 because there are 8 people that can be in the third position. The second question was about how many words can be generated with the word CALCULUS. Since there are 8 letters it should be 8! However, there are two L's, two U's, and two C's which are all non-distinguishable objects because we can't tell the difference between the doubles. So, it is 8!/ 2!2!2!. 2! are the U's, L's, and C's since we can't tell them apart. Question 3 the answer is (7-1)! which is equivalent to 720. That's because since 7 people are sitting in a circle and one person could be the point so 6 others sit around. Question 4 the answer is 4!2!2!2!2! because there are four couples that could be arranged and two people in the four couples and they too can be rearranged. The answer for question five is 1152 because if the men and women alternate then it would look like this
4 would go first because there are 4 men and 4 in the second because there are 4 women. 3 would go into the third because of 3 men left and 3 for women and so on. The next line is the same but a woman first. They both equal 576. To get the answer you add 576 + 576= 1152. The sixth deals with simplifying expressions. We did a bit of the new unit.
AFTERNOON CLASS:
We did a bit more work on the Binomial Theorem. We noticed patterns all over the place. We learned how to find whatever term we want. If we were not given the X^n than we could find out what term it is. We could find the term using a system of equation! If you want to see more of what happened in class click here for more details! Homework for the weekend was Exercise 34, do all. I apologize for the late scribe. For tomorrow, the next scriber is.........................................................................................................................................................
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JANN
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