Basic Concepts of Data and Error Analysis by Panayiotis Nicos Kaloyerou

Author:Panayiotis Nicos Kaloyerou
Language: eng
Format: epub
ISBN: 9783319958767
Publisher: Springer International Publishing

We see that there are vastly fewer combinations than permutations.

Another common notation for combinations is , i.e.,

(5.10)

The numbers given in Eq. (5.10) are called binomial coefficients since they appear as the coefficients in the binomial expansion .

Example 5.2.18

(Use of combinations and permutations in the calculation of probabilities)

Three balls are picked without replacement from a bag containing 7 red balls and 5 blue balls. What is the probability of picking 1 red ball and two blue balls?

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