SOLUTION: 11 out of 15 students is selected for a football team. What is the probability that Hanif is selected?

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Question 1170786: 11 out of 15 students is selected for a football team. What is the probability that Hanif is selected?
Answer by ikleyn(52835) About Me  (Show Source):
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11 out of 15 students is selected for a football team. What is the probability that Hanif is selected?
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The total number of all possible teams is the number of combinations

    C%5B15%5D%5E11 = %2815%2A14%2A13%2A12%29%2F%281%2A2%2A3%2A4%29 = 1365.


The teams where Hanif participates, are those where 10 other students 
of remaining 15-1 = 14 students participate.


The number of such teams is  C%5B14%5D%5E10 = %2814%2A13%2A12%2A11%29%2F%281%2A2%2A3%2A4%29 = 1001.


The probability that Hanif will be selected is  P = 1001%2F1365 = 0.7333  (rounded).    ANSWER

Solved.


Another reasoning is possible, also.

The probability that Hanif will be among  11  lucky guys from the total  15  guys is  11%2F15.

Notice that this ratio's value is precisely the same as  1001%2F1365  above.