JEE Main2008MathematicsPermutation and CombinationActual
In a shop there are five types of ice-creams available. A child buys six ice-creams. Statement -1: The number of different ways the child can buy the six ice-creams is ¹⁰ C ₅ . Statement -2 : The number of different ways the child can buy the six ice-creams is equal to the number of different ways of arranging 6 ~A ^ 's and 4 B's in a row.
Options
- AStatement -1 is false, Statement -2 is true
- BStatement -1 is true, Statement -2 is true, Statement -2 is a correct explanation for Statement -1
- CStatement -1 is true, Statement -2 is true; Statement -2 is not a correct explanation for Statement -1 .
- DStatement -1 is true, Statement -2 is false.
Correct answer
A. Statement -1 is false, Statement -2 is true
Step-by-step solution
aligned & x₁+x₂+x₃+x₄+x₅=6 & 5+6-1 C_ 5-1 = ¹⁰ C₄ aligned