9
QuizMultiple Choice

Permutations and Combinations

Question 9 • HCISD-Mathematical Models with Applications B-CR SUMMER

In a certain lottery, 5 numbers between 1 and 13 inclusive are drawn. These are the winning numbers. How many different selections are possible? Assume that the order in which the numbers are drawn is not important.

Answer
A
1287
B
154,440
C
371,293
D
120

Explanation

Because the order of the 5 winning numbers does not matter, use combinations: choose 5 numbers from 13. The calculation is 13C5 = (13 × 12 × 11 × 10 × 9) ÷ (5 × 4 × 3 × 2 × 1) = 1,287. The correct choice is 1,287.

AI-written and checked against the verified answer.

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