JEE PYQ: Permutation And Combination Question 40
Question 40 - 2019 (09 Jan Shift 1)
Consider a class of 5 girls and 7 boys. The number of different teams consisting of 2 girls and 3 boys that can be formed from this class, if there are two specific boys $A$ and $B$, who refuse to be the members of the same team, is:
(1) 500
(2) 200
(3) 300
(4) 350
Show Answer
Answer: (3)
Solution
Total without restriction: ${}^5C_2 \cdot {}^7C_3 = 10 \times 35 = 350$. Teams with both $A$ and $B$: ${}^5C_2 \cdot {}^5C_1 = 10 \times 5 = 50$. Required $= 350 - 50 = 300$.
BETA
