MHT CET202124 Sep 2021Evening ShiftMathematicsPermutation and CombinationActual
A committee of 5 is to be formed out of 6 men and 4 ladies. The number of ways this can be done, when at most 2 ladies are include, is
Options
- A240
- B186
- C60
- D120
Correct answer
B. 186
Step-by-step solution
The committee can be formed in following ways: ( 5 men), (4 men, 1 lady) , (3 men, 2 ladies) aligned & Number of was = ( ^6 C ₅ )+ ( ^6 C ₄ ^4 C ₁ )+ ( ^6 C ₃ ^4 C ₂ ) & =(6)+(15 4)+(20 6)=6+60+120=186 aligned