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(Solved): A co-ed soccer team has 9 women and 7 men on its roster. 6 players play on the field at one time. ...



A co-ed soccer team has 9 women and 7 men on its roster. 6 players play on the field at one time. What is the probability the starting lineup will have 4 men and 2 women on it?


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As we have given that there are 9 women and 7 men available in a co-ed soccer team. Hence the total number of women and men is as follows,




We calculate the probability for checking what are the chances the event will occur.
In this scenario, we have to check that what are the chances that the starting lineup will have 4 men and 2 women on it.

we use the combination formula for calculating the above probability as follows,




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