Question

Six different renovation jobs are each to be assigned to one of four contractors. (a) In...

Six different renovation jobs are each to be assigned to one of four contractors.

(a) In how many ways can the six jobs be distributed among the four contractors? Each contractor can get any number of jobs, including the possibility that all jobs go to the same contractor. Idea: For each job, how many options are there for who is given that job?

(b) In how many ways can the six jobs be distributed among the four contractors so that every contractor gets at least one job? Idea: Cases are needed. One case is that two contractors get two jobs each, and two contractors each get one. What other case(s) are possible?

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