In how many ways men can be divided into sides such that all contain men to each.
The given information is:
Number of men
Number of sides
Number of men to each side
Pick first men from men,
Total no. of ways of choosing is:
Pick first men from men,
Total no. of ways of choosing is:
Pick first men from men,
Total no. of ways of choosing is:
Pick last men from men and the number of ways this can be done is .
Since the four groups are similar, there is no differentiation between them. Therefore, we need to divide it with .
The total numbers of ways:
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