Ahigh-school class is attended by 10 boys B1, B2,, B10 and 5 girlsG1,G2,,G5. After their final exams,

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Ahigh-school class is attended by 10 boys B1, B2,…, B10 and 5 girlsG1,G2,…,G5.

After their final exams, all students are graded and ranked from 1 to 15.

(i) How many different rankings are possible?

(ii) What is the probability that all 10 boys have consecutive ranks (e.g. from rank 2 to 11)?

(iii) What is the probability that at least one girl is ranked immediately after another girl?

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Related Book For  book-img-for-question

Introduction To Probability Volume 2

ISBN: 9781118123331

1st Edition

Authors: Narayanaswamy Balakrishnan, Markos V. Koutras, Konstadinos G. Politis

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