AP EAMCET20228 Jul 2022Evening ShiftMathematicsPermutation and CombinationActual
The number of ways of dividing 200 dissimilar things into 10 groups each containing 20 elements is
Options
- A(200) ! /(201)²⁰ 10 !
- B(200) ! /(10 !)¹⁰ 20 !
- C(200) ! /(20 !)¹⁰ 10 !
- D(200) ! /(10 !)²⁰ 20 !
Correct answer
C. (200) ! /(20 !)¹⁰ 10 !
Step-by-step solution
Division of m n objects into m n groups of equal size is done by (m n) ! (n !)^m(m !) Similarly, we have m n=200 n=20, m=10 Number of ways = (200) ! (20 !)¹⁰,(10 !)