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A professor has 10 identical new pens that he no longer needs. In how many ways can
Chapter 9, Problem 14(choose chapter or problem)
A professor has 10 identical new pens that he no longer needs. In how many ways can these pens be given to 3 students if (a) there are no other conditions? (b) every student must receive at least one pen? (c) every student must receive at least two pens? (d) every student must receive at least three pens?
Questions & Answers
QUESTION:
A professor has 10 identical new pens that he no longer needs. In how many ways can these pens be given to 3 students if (a) there are no other conditions? (b) every student must receive at least one pen? (c) every student must receive at least two pens? (d) every student must receive at least three pens?
ANSWER:Step 1 of 5
The given problem can be solved by using permutation and combination with repetition. The number of -element multisets whose elements belong to a -element set is