
Pearson eText for Probability & Statistics for Engineers and Scientists with R -- Instant Access (Pearson+)
1st Edition
ISBN: 9780137548552
Author: Michael Akritas
Publisher: PEARSON+
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A telegraph can transmit two different signals: a dot and a dash. We want to encode the 26 letters of the Englishalphabet and the ten digits 0, 1, 2, . . . , 9 using sequences of these two symbols. What is the smallest integer n suchthat we can encode all these letters and digits with sequences of length at most n and length at least 1?
We roll seven 20-sided dice, numbered 1 to 20. Show that it is always possible to find two disjoint nonempty subsetsof the dice such that the sums of the shown faces of the dice in each of the subsets coincide.
Answer this two questions:
2 . We roll seven 20-sided dice, numbered 1 to 20. Show that it is always possible to find two disjoint nonempty subsets of the dice such that the sums of the shown faces of the dice in each of the subsets coincide(only one of the faces is considered to be shown) .
4. We are given a deck of 60 cards, 40 are identical black cards, 10 are identical red cards, and 10 are identical greenc ards. How may ways are there to deal the 60 cards to three distinct players so that everyone gets exactly 20 cards?
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