Question: Please answer 15637 step by step thx Problem 5. On a distant alien planet, a full year lasts 5 days.' The distribution of birthdays of

Please answer 15637 step by step thx

Please answer 15637 step by step thx Problem 5.Please answer 15637 step by step thx Problem 5.Please answer 15637 step by step thx Problem 5.Please answer 15637 step by step thx Problem 5.
Problem 5. On a distant alien planet, a full year lasts 5 days.' The distribution of birthdays of the aliens who live on this planet is uniform. What is the probability that, if we randomly choose 3 aliens from this planet, at least 2 of them will have the same birthday? Explain. Problem 6. Amrita and Ba Jin are friends who are very fond of the number 13. They would like to choose a 13-letter key word for a Vignere cipher with the property that applying the encryption function to some (encoded) plaintext 13 times will give back the original plaintext. How many key words can they choose?-H K L M N 0 P Q R S T U V W X Y Z B E G I we 19 20 21 22 23 24 25 2 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Problem 1. The ciphertext IBFXYMQ was encrypted using a Vignere cipher with the key word TURTLE. What is the plaintext?\fProblem 7. The English alphabet has 26 letters and the German alphabet has 30.' Which of these two languages has a greater number of distinct affine encryption functions? Explain

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