10 = 2*5, a product of 2 primes, and 2 divides (5-1). So there are only two groups.
If the set is of finite order, that is, it has a finite number of elements, n, then the number of subsets is 2n.
Yes, you divide the number of expected outcomes by the number of possible outcomes in order to determine probability.
No. As long as there are more than two, the number's composite.
In order to determine the number of significant figures in a number, you need to look at the non-zero digits and any zeros between them.
There are two: the cyclic group (C10) and the dihedral group (D10).
It can't be either, because the rationals aren't order isomorphic to the integers.
Number of generators of that group
A group is when you have a number of people or things together. In order for it to be a group it has to be 3 or more.
10 = 2*5, a product of 2 primes, and 2 divides (5-1). So there are only two groups.
The 15th star in a constellation group will vary depending on which constellation you are referring to, as each constellation has a different number of stars. It would be helpful to specify the constellation in order to determine the 15th star.
Normally, a cyclic group is defined as a set of numbers generated by repeated use of an operator on a single element which is called the generator and is denoted by g.If the operation is multiplicative then the elements are g0, g1, g2, ...Such a group may be finite or infinite. If for some integer k, gk = g0 then the cyclic group is finite, of order k. If there is no such k, then it is infinite - and is isomorphic to Z(integers) with the operation being addition.
The order of a cyclic group is the number of distinct elements in the group. It is also the smallest power, k, such that xk = i for all elements x in the group (i is the identity).
No
The number of protons determine what element it is, the number of neutrons determine what isotope it is.
If the set is of finite order, that is, it has a finite number of elements, n, then the number of subsets is 2n.
The order of a group is the same as its cardinality - i.e. the number of elements the set contains. The order of a particular element is the order of the (cyclic) group generated by that element - i.e. the order of the group {...a-4, a-3, a-2, a-1, e, a, a2, a3, a4...}. If these powers do not go on forever, it will have a finite order; otherwise the order will be infinite.