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
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