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Count arrangements, selections and overlapping sets: retrieval

Count arrangements, selections and overlapping sets: retrieval: a separate sample with explanations after your response.

Paper packet. Every task here also exists on screen, where it is checked automatically; answers written on paper are not assessed by Nydus. When you are back at a device, enter your answers there.

1. What you will learn

Count arrangements, selections and overlapping sets: retrieval: attempt the counting sample without worked examples. Use the target of each question to decide which information matters, and record your initial response before reading its explanation.

2. Practice

How many three-letter arrangements can be made from A,B,C,D without repetition?

3. Practice

How many committees of three can be chosen from seven people?

4. Practice

How many distinct arrangements are there of the letters in LEVEL?

5. Practice

How many four-digit codes use digits 0 through 9 if repetition is allowed and the first digit cannot be zero?

6. What you can do now

Review the counting decisions in this quantitative modeling sample. Identify the particular restriction or evidence that changed your answer, and return to the corresponding worked lesson before trying a new case.