Math  /  Discrete

QuestionGiven the experiment, determine the number of outcomes possible 5 different states from the United States of America are chosen.

Studdy Solution
Calculate the number of combinations:
Substitute n=50 n = 50 and r=5 r = 5 into the formula:
C(50,5)=50!5!(505)! C(50, 5) = \frac{50!}{5!(50-5)!}
Calculate the factorials:
C(50,5)=50×49×48×47×465×4×3×2×1 C(50, 5) = \frac{50 \times 49 \times 48 \times 47 \times 46}{5 \times 4 \times 3 \times 2 \times 1}
Calculate the result:
C(50,5)=254251200120=2118760 C(50, 5) = \frac{254251200}{120} = 2118760
The number of possible outcomes when choosing 5 different states is:
2118760 \boxed{2118760}

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