Question

Use combinations to answer the following problem. You are selecting a group of 4 students from...

Use combinations to answer the following problem. You are selecting a group of 4 students from a class of 90 students, 65 are female and 25 are male.

A) How many possible combinations of 4 students could be created from these 90 students?

B) What is the chance that all 4 students selected will be female.

Math   Statistics-And-Probability   
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Answer #1

Solution: A) How many possible combinations of 4 students could be created from these 90 students?

Answer: We have to use the combination formula here:

The combination formula is:

Where:

is the total students

is the number of students selected

Therefore, we have:

  

Therefore, there are 2555190 possible combinations of 4 students that could be created from these 90 students.

B) What is the chance that all 4 students selected will be female.

Answer: We are given that there are 65 females. The number of ways 4 females can be selected out of 65 females is:

  

Therefore, the chance that all 4 students selected will be female is:

rounded to 4 decimal places

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