Problem 727
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yourmaths
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Problem 727
I have assumed that "chosen uniformly" means that all combinations (ra, rb, rc) within the defined limits has an equal chance of being chosen. Is this right or does "chosen uniformly" mean something different here?
level = lambda number_solved: number_solved // 25
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MuthuVeerappanR
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Re: Problem 727
Hi yourmaths,
"chosen uniformly" here means we choose one triple from among those which satisfy the limits AND the GCD condition.
If you consider only the limit, you'll have a total of $\displaystyle \binom{100}{3}$ triples to choose from. But we will have lower number of triples because of the GCD condition.
"chosen uniformly" here means we choose one triple from among those which satisfy the limits AND the GCD condition.
If you consider only the limit, you'll have a total of $\displaystyle \binom{100}{3}$ triples to choose from. But we will have lower number of triples because of the GCD condition.
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yourmaths
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Re: Problem 727
Thanks MuthuVeerappanR.
That is as I understood it: each valid combination is counted once in the expected value calculation.
That is as I understood it: each valid combination is counted once in the expected value calculation.
level = lambda number_solved: number_solved // 25