Question

How many elements of the specified order does the given permutation group have?

a) order 10 in S_{6}

b) order 10 in S_{10}

Answer #1

Problem 3: (a) How many elements in S8 commute with the
permutation (123)(45678)? (b) How many elements are there in S8
with order 15?

How many different elements does A × B have if A has 3 elements
and B has 2 elements?

How many elements does Z/4Z have?

Given a random permutation of the elements of the set
{a,b,c,d,e}, let X equal the number of elements that are in their
original position (as listed). The moment generating function is X
is: M(t) = 44/120 + 45/120e^t + 20/120e^2t + 10/120e^3t+1/120e^5t
Explain Why there is not (e^4t) term in the moment generating
function of X ?

How many subgroups of order 3 does D3 have?

Let G = <a> be a cyclic group of order 12. Describe
explicitly all elements of Aut(G), the group of automorphisms of G.
Indicate how you know that these are elements of Aut(G) and that
these are the only elements of Aut(G).

For the given elements, convert 1.00 gram of that element to
moles.
How many moles of calcium are in 1.00 gram?
How many moles of cadmium are in 1.00 gram?
How many moles of carbon are in 1.00 gram?
Please help

QUESTION 1
You flip a coin and roll a 10 sided die. How many elements are
in the sample space?
QUESTION 2
You flip a coin and roll a 10 sided die. What is the probability
getting a tail and rolling a 5?
QUESTION 3
How many ways can you select 2 items from 20 if order does not
matter?
QUESTION 4
How many ways can you select 2 items from 20 if order
matters?
QUESTION 5
Suppose that we...

In a group of 16 people, includes Mr, Joe, and Mr. Smith, how
many ways to make a group of 6 people from 16 people, that includes
Mr.Smith and Mr. Joe?
Is it possible to solve it in two ways either Combination or
permutation ?

How many subspaces does R1 have? How many subspaces does R2
have?

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