Dwayne owns 9 different blankets. On a particularly cold day, he decides to put 2 blankets on the bed. In how many orders can he pick out the 2 blankets?
Question
Dwayne owns 9 different blankets. On a particularly cold day, he decides to put 2 blankets on the bed. In how many orders can he pick out the 2 blankets?
Solution
This is a problem of combinations. The formula for combinations is C(n, k) = n! / [k!(n-k)!], where n is the total number of items, k is the number of items to choose, and "!" denotes factorial.
Here, Dwayne has 9 blankets (n=9) and he wants to choose 2 (k=2).
So, we plug these values into the formula:
C(9, 2) = 9! / [2!(9-2)!] = 9! / [2! * 7!] = (987654321) / [(21) * (7654321)] = (98) / (2*1) = 72 / 2 = 36
So, Dwayne can pick out the 2 blankets in 36 different ways.
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