1) What are the values of C and k of the term Cykx20 in the polynomial expansion of (x² + y )100? 2) What is the probability that in a group of n no two people share a common birthday? Work out the probabilities numerically for n= 20 (Assume there are 365 days in a year.) 3) Find the number of ordered quadruplets (a, b, c, d) of strictly positive integers satisfying a + b +c + d = 98

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 6E: Suppose the probability of erroneously transmitting a single digit is P=0.03. Compute the...
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1,2 urgently
1) What are the values of C and k of the term Cykx20 in the polynomial
expansion of (x² + y )100?
2) What is the probability that in a group of n no two people share a common
birthday? Work out the probabilities numerically for n=20 (Assume there
are 365 days in a year.)
3) Find the number of ordered quadruplets (a, b, c, d) of strictly positive
integers satisfying a + b + c + d = 98
Transcribed Image Text:1) What are the values of C and k of the term Cykx20 in the polynomial expansion of (x² + y )100? 2) What is the probability that in a group of n no two people share a common birthday? Work out the probabilities numerically for n=20 (Assume there are 365 days in a year.) 3) Find the number of ordered quadruplets (a, b, c, d) of strictly positive integers satisfying a + b + c + d = 98
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