[2C-07] Suppose you must choose 4 out of 50 students to serve on student council. How many...
[2C-07] Suppose you must choose 4 out of 50 students to serve on student council. How many different ways of choosing group of 4 students are there?
Homework Answers
Answer
There is no spcific order or arrangement of selection is given, so we will use the combination formula in this case.
we use permutation, when there is specific arrangement or ordering is required after the selection.
Total number of students = n = 50 and total number of selection =r = 4
Using the formula
setting the given values, we get
we can write 50! as 50*49*48*47*46!
so, 
46! will cancel out on denominator and numerator, we get
this gives us
total number of ways = combination(50,4) = 230,300 different ways
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