NTA Abhyas JEE Main2020MathematicsPermutation and CombinationPractice
A shopkeeper has 10 copies each of nine different books, then the number of ways in which atleast one book can be selected is
Options
- A9 11 - 1
- B10 10 - 1
- C11 9 - 1
- D10 9
Correct answer
C. 11 9 - 1
Step-by-step solution
B 1 ︸ 10 B 2 ︸ 10 B 3 ︸ 10 … … .. B 9 ︸ 10 1 s t kind of book can be selected in 10 + 1 ways. Similarly each kind of book can be selected in 10 + 1 ways. So, selection of atleast one book = 10 + 1 10 + 1 … … … . . 10 + 1 9 t i m e s - 1 = 11 9 - 1