AP EAMCET202021 Sep 2020Evening ShiftMathematicsPermutation and CombinationActual
In how many ways a committee of a 6 members can be formed out of 10 members but always consisting of a specified member ?
Options
- A( 1 2 ^9 P₅ )
- B( ^9 P₅ )
- C( ^9 C ₅ )
- D( 1 2 ^9 C₅ )
Correct answer
C. ( ^9 C ₅ )
Step-by-step solution
As the committee consists a specified member out of 6 members, then we need to select only 5 members out of 9 remaining members and it can be done is ( ^9 C₅ ) ways. Hence, option (c) is correct.