![[5] Given sets A and B, each of cardinality , how many functions map](http://s1.studyres.com/store/data/017643966_1-ec55df3a8d29de2450c2e7e0f85a0325-300x300.png)
[5] Given sets A and B, each of cardinality , how many functions map
... 4. [10] For n ≥ 1 , how many ways can you find ordered triples (i , j , k ) so that i, j, and k are non-negative and their sum is n? (Hint: Consider balls and bins.) 5. [10] For n ≥ 1 , assume all strings of n digits from {0,1,...,9} are equally likely. What is the expected number of 9's in such a s ...
... 4. [10] For n ≥ 1 , how many ways can you find ordered triples (i , j , k ) so that i, j, and k are non-negative and their sum is n? (Hint: Consider balls and bins.) 5. [10] For n ≥ 1 , assume all strings of n digits from {0,1,...,9} are equally likely. What is the expected number of 9's in such a s ...
Mathematics revision booklet
... 4. If you find yourself doing some ridiculous working out, you’ve probably gone wrong or there might be a different way. Check, rethink, or move on quickly… 5. When there is an unknown quantity, try calling it “x” or “n” or some suitable variable. ALWAYS make it clear at the start of the answer what ...
... 4. If you find yourself doing some ridiculous working out, you’ve probably gone wrong or there might be a different way. Check, rethink, or move on quickly… 5. When there is an unknown quantity, try calling it “x” or “n” or some suitable variable. ALWAYS make it clear at the start of the answer what ...
Notes on geometric series
... It is not even really possible to say that the sum of the infinite geometric series (a = 1 and r =−1): 1 + (−1) + (−1)2 + (−1)3 + … + (−1)n + … is a number at all. If you work out what all of the powers of −1 are, the infinite series looks like this: 1 − 1 + 1 − 1 + … + (−1)n + … Each “pair” of a “1 ...
... It is not even really possible to say that the sum of the infinite geometric series (a = 1 and r =−1): 1 + (−1) + (−1)2 + (−1)3 + … + (−1)n + … is a number at all. If you work out what all of the powers of −1 are, the infinite series looks like this: 1 − 1 + 1 − 1 + … + (−1)n + … Each “pair” of a “1 ...
Manassas City Public Schools (4-19-07)
... A composite number is a natural number that has more than two different factors. One is neither prime nor composite because it has only one factor, itself. The prime factorization of a number is a representation of the number as the product of its prime factors. For example, the prime factoriz ...
... A composite number is a natural number that has more than two different factors. One is neither prime nor composite because it has only one factor, itself. The prime factorization of a number is a representation of the number as the product of its prime factors. For example, the prime factoriz ...
