JEE Main 20244 AprilEvening Shift
- Exam
- JEE Main
- Year
- 2024
- Date
- 4 April
- Shift
- Evening Shift
- Subject
- Mathematics
- Chapter
- Permutation and Combination
JEE Main 2024 · 4 April · Evening Shift · Mathematics · Permutation and Combination
There are 4 men and 5 women in Group A, and 5 men and 4 women in...
There are 4 men and 5 women in Group A, and 5 men and 4 women in Group B. If 4 persons are selected from each group, then the number of ways of selecting 4 men and 4 women is _____
Correct answer
0
Step-by-step solution
<table class="qx-match-list qx-match-table" border="1" cellpadding="6" cellspacing="0"><tr><td>{}</td><td>{}</td><td>Ways of selection4 M 4 W { }^4 C_4{ }^4 C_4=1 3 M 1 W 1 M 3 W { }^4 C_3{ }^5 C_1{ }^5 C_1{ }^4 C_3=400 2 M 2 W 2 M 2 W { }^4 C_2{ }^5 C_2{ }^5 C_2{ }^4 C_2=3600 1 M 3 W 3 M 1 W { }^4 C_1{ }^5 C_3{ }^5 C_3{ }^4 C_1=1600 4 W 4 M { }^5 C_4{ }^5 C_4=25 Total 5626