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# Finding subsets and or

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### Finding subsets and or

1. 1. CONCEPT of AND/ OR
2. 2.  Let D={Lise 1 D class} a. Find the number of subsets of D. b. Find the number of subsets with 2 elements c. Find the number of subsets with Can and Doğukan.
3. 3. 1. Let A={Serkan, Ilgın, Zeynep}  Find the number of subsets with Ilgın and Zeynep. { } {S} { S,I } { S, I, Z } {I} { S, Z } {Z} { I, Z }  Find the number of subsets of the set D={Serkan}  Did you discover something?
4. 4. 2. Let D={1, 2, 3, 4, 5,6}  Find the number of subsets with 1 and 6.  Find the number of subsets with even numbers.  Find the number of subsets with 1,2,3 and 4.  How many subsets of D contain 1 but not 6?
5. 5.  Let A={Lise 1 D class} a. Find the number of subsets with Ecenaz or Ata.
6. 6. 1. Let A= {Kaan, Alp, Melisa}  Find the number of subsets with Kaan or Melisa. { } {K} { K, A} { K,A,M } {A} { A, M } {M} { K, M }  ALL-NONE Principle: Total number of subsets of A – the number of subsets without K and M
7. 7. 1. Let A= {Kaan, Alp, Melisa}  Find the number of subsets with Kaan or Melisa. { } {K} { K, A} { K,A,M } {A} { A, M } {M} { K, M }  Inclusion Exclusion Principle: The number of subsets with K + the number of subsets with M – the number of subsets with K and M
8. 8.       2. Let D={1, 2, 3, 4, 5, 6, 7} Find the number of subsets with 1 or 6. Alternatif solution: Subsets with 1+ subsets with 6- subsets with 1 and 6. Find the number of subsets with 1, 2 or 3. Find the number of subsets with 5 or 7.
9. 9.  Woksheet 6 : Part I
10. 10.   Using C(n,r) Let A={Lise 1 D class} Find the number of subsets with three elements that contain Irmak.
11. 11.  a. b. 1. Let B = {1, 2, 3, 4, 5, 6} Find the number of subsets with three elements that contain ‘3’. Find the number of subsets with four elements that contain 5.
12. 12.  c. d. e. 1. Let B = {1, 2, 3, 4, 5, 6} Find the number of subsets with three elements that contain ‘3’ and ‘4’. Find the number of subsets with five elements that contain ‘3’ and ‘4’. Find the number of subsets with three elements that contain ‘3’ or ‘4’
13. 13.  a. b. c. 1. Let B = {1, 2, 3, 4, 5, 6, 7, 8, 9} Find the number of subsets with five elements that contain ‘9’. Find the number of subsets with five elements that contain ‘5’ and ‘9’. Find the number of subsets with five elements that contain neither ‘9’ nor ‘2’.
14. 14.  The rest of Woksheet 6  Worksheet 7