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# Probability

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A rugby team of 13 consists of five backs, six forwards and two halves.

(a) How many teams are possible from a squad of 17, consisting of six backs, eight forwards and three halves?

(b) How many teams are possible from a squad of 17, consisting of six backs, eight forwards and two halves, and one player who could play as a back or a half?

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A rugby team of 13 consists of five backs, six forwards and two halves are examined.

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A rugby team of 13 consists of five backs, six forwards and two halves.

(a) How many teams are possible from a squad of 17, consisting of six backs, eight forwards and three halves?
Solution. Since a rugby team of 13 consists of five backs, six forwards and two halves, now we have six backs who can be chosen as those five backs in a possible team, there are 6 different ways. Similarly, we have eight forwards who can be chosen as those six forwards in a possible team, so there are different ways; Similarly, we have three halves ...

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• BSc , Wuhan Univ. China
• MA, Shandong Univ.
###### Recent Feedback
• "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
• "excellent work"
• "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
• "Thank you"
• "Thank you very much for your valuable time and assistance!"

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