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11 lines
852 B
Plaintext
11 lines
852 B
Plaintext
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n! k-1 n-k (n-k)n! k n-1-k
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... = ──────────── t (1-t) - ──────── t (1-t)
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(k-1)!(n-k)! k!(n-k)!
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╭ (n-1)! k-1 n-k (n-k)(n-1)! k n-1-k ╮
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... = n │ ──────────── t (1-t) - ─────────── t (1-t) │
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╰ (k-1)!(n-k)! k!(n-k)! ╯
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╭ (n-1)! (k-1) (n-1)-(k-1) (n-1)! k (n-1)-k ╮
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... = n │ ──────────────────── t (1-t) - ──────────── t (1-t) │
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╰ (k-1)!((n-1)-(k-1))! k!((n-1)-k)! ╯
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