There are thirteen female board members and seventeen male board members. How many ways are there to make a committee of ten board members? ways How many ways are there to make a committee of ten board members if exactly three must be female? ways Determine the probability of selecting a committee of ten board members where exactly three of the members were female. Write your answer as a decimal, rounded to the nearest thousandth. Answer:
There are thirteen female board members and seventeen male board members.
How many ways are there to make a committee of ten board members?
- ways
How many ways are there to make a committee of ten board members if exactly three must be female?
- ways
Determine the probability of selecting a committee of ten board members where exactly three of the members were female. Write your answer as a decimal, rounded to the nearest thousandth.
- Answer:
The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!.
Explanation:
Consider that r distinct items need to be selected from n items and the selection must be without replacement. The order of selection does not matter.
In such case, the combination formula can be applied.
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