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What is the value of 10C10?

Updated: 9/21/2023
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Q: What is the value of 10C10?
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A test consist of 10 true or false questions 2 pass the test the student must answer atleast 8 correctly if the student guesses on each question what is the probability that the student will pass?

The probability that the student will pass is; P(pass) = P(10) + P(9) + P(8) = [10C10 + 10C9 + 10C8] / (.5)10 = 56/1024 ~ ~ 0.0547 ~ 5.47% where nCr = n!/[r!(n-r)!]


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