# Probability

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.

(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 ...

#### Solution Summary

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