Permutation And Combination

Step 1: Number of Ways to Select 4 Men from 10.
The number of ways to select 4 men from 10 is given by the combination formula: $C(n%2C%20r)%20%3D%20%5Cfrac%7Bn!%7D%7Br!(n%20-%20r)!%7D$ Substituting $n%20%3D%2010$ and $r%20%3D%204$ : $C(10%2C%204)%20%3D%20%5Cfrac%7B10!%7D%7B4!(10%20-%204)!%7D%20%3D%20%5Cfrac%7B10%20%5Ctimes%209%20%5Ctimes%208%20%5Ctimes%207%7D%7B4%20%5Ctimes%203%20%5Ctimes%202%20%5Ctimes%201%7D%20%3D%20210$

Step 2: Conclusion.
Thus, the number of ways to divide the 10 men into two groups of 4 and 6 is 210.

Final Answer: $%5Cboxed%7B210%7D$

High-Yield Trend

Chapter Questions
1 MCQs

Official Solution

Permutation And Combination

High-Yield Trend

Chapter Questions 1 MCQs

Official Solution

Chapter Questions
1 MCQs