Conceptional question: You need to answer my confusionother than just solving the problem. Better follow thecomment
Q1. 10 students are divided into 5 groups and each groupwill be assigned a project topic
(a) if the 5 groups will work on 5 different topics,find the number of ways of forming groups (why I can't use themultinomial coefficient to calculate Question1???????)
answer: 10C2*8C2*6C2*4C2*2C2=113, 400
Example: A police department in a smallcity consists of 10 officers. If the department policy is
to have 5 of the officers patrolling the streets, 2 of the officersworking full time at the
station, and 3 of the officers on reserve at the station, how manydifferent divisions
of the 10 officers into the 3 groups are possible?
Why I can use the multinomial coefficient to calculatethis one? answer: 10!/(5!2!3!)