JEE Main Solved Paper 2017 Question 8
Question: A man X has 7 friends, 4 of them are ladies and 3 are men. His wife Y also has 7 friends, 3 of them are ladies and 4 are men. Assume X and Y have no common friends. Then the total number of ways in which X and Y together can throw a party inviting 3 ladies and 3 men, so that 3 friends of each of X and Y are in this party, is : [JEE Main Solved Paper-2017]
Options:
A) 484
B) 485
C) 468
D) 469
Show Answer
Answer:
Correct Answer: B
Solution:
- Total number of ways $ {{,}^{4}}{C _{0.}}.{{,}^{3}}C _3.{{,}^{3}}{C _{3.}}.{{,}^{4}}{C _{0.}}.+,{{,}^{4}}C _1{{.}^{3}}C _2{{.}^{3}}C _2.{{,}^{4}}{C _{1.}} $ $ +{{,}^{4}}{C _{2.}}.{{,}^{3}}C _1.{{,}^{3}}{C _{1.}}.{{,}^{4}}{C _{2.}}.+,{{,}^{4}}C _3{{.}^{3}}C _0{{.}^{3}}C _0.{{,}^{4}}C _3 $ $ =485 $
