BITSAT2020MathematicsPermutation and CombinationActual
The number of possible outcomes in a throw of n ordinary dice in which at least one of the dice shows an odd number is
Options
- A6^ n -1
- B3^ n -1
- C6^ n -3^ n
- DNone of these
Correct answer
C. 6^ n -3^ n
Step-by-step solution
Total number of ways =6 6 to n times =6^ n Total number of ways to show only even number =3 3 to n times =3^ n required number of ways =6^ n -3^ n