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17 July, 17:32

2. How many bit strings of length 12 containa) exactly three 1s? b) at most three 1s? c) at least three 1s? d) an equal number of 0s and 1s?

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  1. 17 July, 17:41
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    The answers are: 220, 299, 4017, and 924.

    Explanation:

    a) (¹²₃) = 220

    b (¹²₀) + (¹²₁) + (¹²₂) + (¹²₃) = 1 + 12+66+220 = 299.

    c) 2¹² - 66-12-1 = 4017

    d) (¹²₆) = 924
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