Question
21. Amy has 21 indistinguishable pieces of candy that she wants to divide among her 5 children. How many ways can she divide the candy
21. Amy has 21 indistinguishable pieces of candy that she wants to divide among her 5 children. How many ways can she divide the candy so that each child gets at least 3 pieces of candy?
22. Six people plan to have dinner together in a restaurant where the menu shows 10 varieties. Each person decides to order one dish (not necessarily different) and plans to share with others. How many possible combinations of six dishes can be ordered?
23. There are five types of color marbles, yellow, blue, green, orange, and white. Jenny is going to buy ten marbles; she has to buy at least two blues and two oranges, and at least one for all the other colors. Find the number of ways that Jenny can select ten marbles.
24. Four indistinguishable balls will be put into two distinguishable boxes. Find the number of ways we can put the balls into the boxes such that no box is empty.
25. In how many different ways may 15 indistinguishable dimes be distributed among Susan, Frank, and Harold if each must receive at least one dime?
26. Adena has 20 indistinguishable pieces of candy that she wants to divide among her 5 children. How many ways can she divide the candy so that each child gets at least 1 piece of candy?
27. Adena has 20 indistinguishable pieces of candy that she wants to divide among her 5 children. How many ways can she divide the candy so that each child gets at least 3 pieces of candy? 28. Ten identical soccer balls are given to 7 boys. Each boy gets at least one soccer ball. How many ways are there to give the soccer balls to the boys?
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