Type equation here.Date of planning: Teacher: BÙI THỊ NGỌC 15/11/2019 Period 24+25: PERMUTATIONS – ARRANGEMENTS- COMBINATIONS I. GENERAL OBJECTIVES: 1. Knowledge: By the end of the lesson, Students will be able to: - Definition of permutations, arrangements, combinations - Apply the formula to compute numbers of permutations and combinations in exercises. - distinguish the concepts of permutations, arrangements, and combinations 2. skills - using formulas in projectile the number of permutations, arrangements, combinations. - applying permutations, arrangements, and combinations to solve practical problems. 3. Attitude: love studying, enthusiastic and active II. METHOD: - Suggestive approach, problem-solving method, and group work III. PREPARATION: 1. TEACHER: Teaching plan for Algebra and Analysis 11, Algebra and Analysis Textbooks 11. 2. STUDENTS: Algebra and Analysis Textbooks 11. IV. TEACHING PROCESS: 1. Managing class, Checking attendance : Date of teaching Class (total) number of students 11 A1 32 2. Checking: Exercise 1: how many ways are there to select an ordered pair of numbers from 1 to 7 ( repetition allowed) so that the sum is even? Solution: - partition into two cases + both even: 3.3=9 + both odd: 4.4=16 Total 9+16=25 Exercise 2 from the natural numbers 1,2,...,7. How many numbers of 4 distinct digits from given numbers? - That number is even? A.360 B.343 C. 523 D. 347 C.480 D.347 - that number is odd? A.360 B.343 3. new words 1. permutations 2. arrangements 3. combinations 4. element 5. possibility 6. selection 7. list 8. order Hoán vị Chỉnh hợp Tổ hợp Phần tử Sắp xếp Chọn Liệt kê Thứ tự Activity 1: permutations Teacher’s activities +given set A = {1,2,3,4}. List all fourdigit numbers formed from digits 1,2,3 and 4 + each way arrangement is called a permutation of 4 elements Student’s activities + 1234,1243,1324,1324,1423,1432 + 2134,2143,2314,2341,2413,2431 + 3124,3142,3214,3241,3412.3421 + 4123,4132,4213,4231,4312,4321 Definition : given set A containing n elements (𝑛 ≥ 1) each result of the ordered arrangements of n elements of set A is called a permutations of the n elements - Remark: two permutations of n elements differ only in arrangement order. Activity 2: number of permutations Teacher’s activities + example1 state how many ways of arranging the seating of four students An , Binh , Chi and Dung at the same table. - Method + first method: listing all possibilities + second method: applying the rule of multiplication Denoted by Pn the munber of permutations of n elements Theorem Pn =n(n-1).…2.1 Note: Pn=n(n-1)…2.1=n! Activity 3 Consolidation Activity 4 arrangements Teacher’s activities + Listen and write in notebook - Let example about remark Student’ activities + listing all possibilities + applying the rule of multiplication Student’s activities