A hexadecimal string of length 10 is 10-character string such that each character could be any of the first 6 capital letters of the alphabet: {A,B,C,D,E,F} or any of the 10 digits: {0,1,2,...,9}. A character in a hexadecimal string is called a nybble. (please leave your answer in terms of binomial coefficients C(n,k), exponents, factorials, etc. no justification necessary) Q2.1 3 Points How many length 10 hexadecimal strings start with 3 letters or end in 3 digits (or both)?
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There are 6 choices for each of the first 3 characters and 16 choices for each of the remaining 7 characters. So, there are $6^3 \cdot 16^7$ such strings. Show more…
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