8. (5 points) How many 2-permutations are there of a set of seven objects?
) How many permutations of the string ABCDEFG are there?
(1 point) Let f and g be permutations on the set {1, 2, 3, 4, 5, 6, 7}, defined as follows (1 2 3 4 5 6 7 JE (3 1 6 5 7 2 4) f = (1 800 2 5 3 4 4 7 5 3 6 2 7 6) Write each of the following permutations as a product of disjoint cycles, separated by commas (e.g. (1,2), (3,4,5), ... ). Do not include 1-cycles (e.g. (2)) in your...
How many permutations can be formed by sampling 5 things from 6 different things without replacement?
How many permutations are there and show steps to how to get the answer in that form with permutation calculation home. Assume that she walks only east or south 18. Nadia's office is four blocks east aa three when going from home to work. Ue Pascal's method to deternine how many different routes Nadia can take. 13 35 eyyoa b) Use a permutation calculation to determine how many different routes Nadia cah take [2]1 20
ii) How many functions from set S to set T are one-to-one? ili) How many functions from set S to set T are onto? c) supposef(x)=x2. Name a domain and a codomain for which f is invertible. (5 points) 3. a) Find the decimal expansion of the integer that has (1001)2 as its binary expansion. (4 points) b) Prove or disprove: If a b(mod 2m), then ab(mod m) (8 points) c) Solve: 1313), x (mod 11). (6 points)
Q= II. Permutations. Consider the following permutations in Sg: 1 2 3 4 5 6 7 8 9 3 1 4 5 9 2 6 8 7 2 7 1 8 4 5 9 3 6 1. Express a and B as products of disjoint cycles. 2. Compute a-108-1 3. Find ord(a) and ord(B). 4. Express a and B as products of transpositions.
How many permutations of three items can be selected from a group of six
How many permutations can be made using all the letters in the word Connecticut?
1-A sample of 3 is selected from 10 people on a Caribbean cruise. How many permutations are possible? 2-Find probability, using the Binomial distribution, of obtaining “2 or more” non-conforming units when sampling 5 computers from a batch known to be 6% non-conforming.
QUESTION 14 5 points Save Answer The number of permutations of 6 items taken 4 at a time, is how many times larger than the numbers of combinations of 6 items taken 4 at a time? O 24 n! QUESTION 15 5 points Save Answer the number of ways 8 cars can be lined up at a toll booth would be computed from 8 to the 8th power (8)*(8) 8! 8!/711! Save Answer QUESTION 16 5 points suppose that a...