## Friday, November 7, 2008

### IIT JEE Mathematics Study Plan 8. Permutations and Combinations - Revision Facilitator

Chapters in the R.D. Sharma Book

8.1 The factorial
8.2 Exponent of prime p in n!
8.3 Fundamental principles of counting
8.4 Permutations
8.5 Permutations under certain conditions
8.6 Permutations of objects not all distinct
8.7 Permutations when objects can repeat
8.8 Circular permutations
8.9 combinations
8.10 Practical problems on combinations
8.11 Mixed problems on permutations and combinations
8.12 Selection of one or more items
8.13 Division of items into groups
8.14 Division of identical objects into groups
8.15 Some important results

Study plan

Day 1

1. The Factorial
2. Exponent of Prime p in n!
3. Fundamental principles of counting

Day 2

8.4 Permutations
4 theorems and 20 examples

8.5 Permutations under certain conditions
Three theorems and 20 examples

Day 3

8.6 Permutations of Objects not all Distinct
Theorem 1, 11 examples

8.7 Permutations when Objects can Repeat
1 theorem, 6 examples

8.8 Circular Permutations

1 theorem, 10 examples

Day 4

8.9 Combinations
Theorem 1,
Remarks 3
Properties 7
Examples 6

8.10 Practical Problems on Combinations
24 examples

8.11 Mixed Problems on Combinations and Permutations

Examples 6

Total examples for the day 36

Day 5

8.12 Selection of one or more items
Sub topics

Selection from different items
Selection from identical items
Selection of items from a group containing both identical and different items.

4 examples

8.13 Division of Items into Groups
Division of items into groups of unequal size
Division of items into groups of equal size

5 examples

8.14 Division of Identical Objects into groups

3 results and 7 examples

8.15 Some important results

4 results

Day 6

Illustrative objective type questions 1 to 10

Attempt objective type exercises 1 to 10

Attempt Practice exercises (given at the end of the chapter)

1 to 4 and 6

Day 7

Illustrative objective type questions 11 to 20

Attempt objective type exercises 11 to 20

Attempt Practice exercises (given at the end of the chapter)
8,23,24,25,28,29

Day 8

Illustrative objective type questions 21 to 40

Attempt objective type exercises 21 to 50

Attempt Practice exercises (given at the end of the chapter)
51 to 55

Day 9

Illustrative objective type questions 41 to 53

Attempt objective type exercises 51 to 80

Attempt Practice exercises (given at the end of the chapter)
56 to 60

Day 10

81-120

Attempt objective type exercises 51 to 80

Attempt Practice exercises (given at the end of the chapter)
31 to 35

Revision period

Day 11

Do 121 – 130 in Objective type exercises.

Day 12

Do 131 – 141 in Objective type exercises.

Day 13

Do the Fill in the blanks type exercise questions 1 to 5

Day 14

Do the Fill in the blanks type exercise questions 6 to 15

Day 15

From Permutations chapter

Do the Fill in the blanks type exercise questions 16 to 20

Day 16

Do the Fill in the blanks type exercise questions 21 to 25

Day 17

Do the Fill in the blanks type exercise questions 26 to 33

Day 18 to 30
Attempt all the practice questions and test paper questions