JEE PYQ: Permutation And Combination Question 7
Question 7 - 2021 (24 Feb Shift 1)
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:
(1) 560
(2) 1050
(3) 1625
(4) 575
Show Answer
Answer: (3)
Solution
(2I, 4F) + (3I, 6F) + (4I, 8F) $= {}^6C_2 \cdot {}^8C_4 + {}^6C_3 \cdot {}^8C_6 + {}^6C_4 \cdot {}^8C_8 = 15 \times 70 + 20 \times 28 + 15 \times 1 = 1050 + 560 + 15 = 1625$.
BETA
