Math Drills
Number of Cases
A-3Word Problems (Combinations)
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What this worksheet covers
- Topic
- Number of Cases
- Worksheet
- Number of Cases
How many cases there are gets confirmed by writing them out. Questions writing out ways of choosing where order does not matter and ways of arranging where it does and totaling them, questions drawing from a set holding several of the same kind, routes along a grid of streets, and questions with stages piled up as with coins or dice are all counted as word problems.
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A color present in two or more can be counted as one case when two of that color are taken. Miss that and only pairs of different kinds get written out, and the total falls short. Whether a pair of matching colors stands among the cases written out is what separates them.
Number of Cases is gathered into this one lesson, and the center is confirming by writing out rather than by an expression. From Units of Volume the eye moves off what is being counted and onto the name given to one and the same quantity.
- Combinations (With Repetition)3 questions
- Combinations (Ways to Choose)2 questions
Questions & answers
Problems and answers on this worksheet
These are the problems in “Number of Cases”, shown with their answers.
(1)A cup contains 3 kinds of gums — red, blue, and pink — with 2 of each. You take 2 gums out of the cup. Pairs of the same color also count. Write out all the combinations of colors and answer how many there are. Answer □
Answer: 6ways
(2)A basket contains strawberry, orange, banana, and grape — 4 kinds of fruits — with 2 of each. You take 2 fruits out of the basket. Pairs of the same fruit also count. Write out all the combinations and answer how many there are. Answer □
Answer: 10ways
(3)A bag contains 4 kinds of beads — red, green, black, and white — with 2 of each. You take 2 beads out of the bag. Pairs of the same color also count. Write out all the combinations of colors and answer how many there are. Answer □
Answer: 10ways
(4)From 5 colors of ribbon — red, blue, yellow, white, and black — you choose 2 colors. Write out all the ways to choose and answer how many there are. Answer □
Answer: 10ways
(5)From 5 people — A, B, C, D, and E — you choose 3 people to be on duty. Write out all the ways to choose and answer how many there are. Answer □
Answer: 10ways
