Permutations & Combinations
Selection from Two Groups — Men and Women Count
nta_pyq_2024_apr
Grade 11
Question:
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
Step-by-Step Solution
Key Concept: Select 4 men and 4 women total from both groups (8 selected total). Enumerate cases by how many men come from each group.
Total $=1+400+3600+1600+25=5626$.
Correct Answer: 5626