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TOPIC/LESSON: 4TH GRADING (LESSON 2-PERMUTATIONS)-GRADE 10
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1.)Given that 6 paintings & 7 photograps
And the Display: 4 paintings and 4 photograps.
We know that there are 6 paintings that represent 6! Then also 7 photographs that represent 7!
2.) We know ang given that tge word PERMIT has a 6 letters. So it will represent as 6!.
a.
b.
3.) Given:
2 teachers
1 team captain
4 members
Solution for a.
2 = teachers that represent 2!
5 = 1 team cap, plus 4 members = 5!
solution for b.
4 = members that represent 4!
4.) Given that 5 men and 5 women
5.) Composite and Prime
4P × 5C
6.) Seven marbles are chosen from 10 marbles of different colors. They are lined up into two lines in which the first line has 2 marbles and the second line has 5 marbles.
a. In how many ways can this be done?
b. If the red and the blue marbles must be in the first line, how many possible arrangements are there?
7.) There are 4 different jewelry cases. Each can hold only one piece of jewelry.
a. Marco wants to buy 4 different pieces of jewelry and put them in the cases. In how many ways can he do this?
b. Marco now has only 2 different pieces of jewelry. Find the number of possible ways he can put them in the cases.
c. Marco finally obtains the 4 pieces. However, he selects two of them to place in jewelry cases. What is the number of possible ways he can do this?
8.) In a social dance course, there are 6 boys and 6 girls. Jack and Joe are two of them.
a. If a boy paired up with a girl for dancing, how many possible arrangements are there?
b. The students are required to demonstrate the dance, one pair at a time.
Suppose Jack and his partner do not want to be the first pair.
c. Find the number of orders of the demonstration sequence.
d. In addition, if Joe and his partner do not want to be the last pair, find the number of orders.
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