Lesson Worksheet: Combination Mathematics

In this worksheet, we will practice using combination properties to solve problems and using combination to count possible outcomes.

Q1:

If 𝑃=𝐶, find the value(s) of 𝑟.

  • A3 or 4
  • B3
  • C4
  • D2
  • E0 or 1

Q2:

Evaluate 𝐶.

Q3:

There are nine wrestlers in a school. In how many ways can a set of six wrestlers be chosen to represent the school at a competition?

Q4:

If 𝐶=120, find 𝑛.

Q5:

Which of the following is equal to 𝐶?

  • A𝑃×5!
  • B𝑃×5
  • C𝑃5!
  • D𝑃5

Q6:

Evaluate 𝐶𝐶.

  • A480
  • B34
  • C1160
  • D43
  • E1480

Q7:

How many 3-card hands can be chosen from a deck of 52 cards?

Q8:

Determine 𝑟 given that 24(𝐶)=𝑃.

Q9:

Fill in the blank: If 𝐶=𝐶, then 𝑛=.

Q10:

Given that 𝐶=𝐶, determine 𝐶.

This lesson includes 27 additional questions and 279 additional question variations for subscribers.

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