In how many ways could a group of fourteen people be divided into four groups containing respectively two, three, four, and five people?
A)12,612,600
B)2,522,520
C)87,178,291,200
D)66,380,562,248

Question

Quizplus · Accepted Answer

The number of ways to divide 14 people into groups of 2, 3, 4, and 5 is calculated using the multinomial coefficient: 14! / (2! * 3! * 4! * 5!). This evaluates to 2,522,520.

In How Many Ways Could a Group of Fourteen People