JEE Main202124 Feb 2021Morning ShiftMathematicsPermutation and CombinationActual
A scientific committee is to be formed from 6 Indians and 8 foreigners, which includes at least 2 Indians and double the number of foreigners as Indians. Then the number of ways, the committee can be formed, is:
Options
- A1050
- B1625
- C575
- D560
Correct answer
B. 1625
Step-by-step solution
Indians Foreigners Number of ways 2 4 C 2 6 × C 4 8 = 1050 3 6 C 3 6 × C 6 8 = 560 4 8 C 4 6 × C 8 8 = 15 Total number of ways = 1625