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Home / Assignment Help / Problem page a class is made up of 8 boys and 7 girls. half of the boys wear glasses. a student is selected at random from the class. what is the probability that the student is a boy with glasses?

# Problem page a class is made up of 8 boys and 7 girls. half of the boys wear glasses. a student is selected at random from the class. what is the probability that the student is a boy with glasses?

You need to determine the number of ways in which 30 competitors from 50 can qualify. First, you have to realize that the order is irrelevant, that is: it is the same competitor_1, competitor _2, competitor _3 than competitor_3, competitor_2, competitor_1, or any combination of those three competitors.

So, the number of ways is which 30 competitors from 50 can qualify is given by the formula of combinations, which is:

C (m,n) = m! / (n! * (m -n)! )

=> C (50,30) = 50! / (30! (50 – 30)! ) = (50!) / [30! (50 – 30)!] = 50! / [30! 20!] =

= 47,129,212,243,960 different ways the qualifiying round of 30 competitors can be selected from the 50 competitors.