Question

The cardinality or order of group U (10) is​

Answer 1

The cardinality or order of group U(10) is 4

Given :

The group U(10)

To find :

The cardinality or order of group U(10)

Concept :

Cardinality of a set :

The cardinality of a set is defined as the total number of elements in the set.

Solution :

Step 1 of 2 :

Find the elements of the group U(10)

We know that U(10) is multiplicative group of units modulo 10

∴ U(10) = { 1 , 3 , 7 , 9 }

Here the given set is { 1 , 2 , 3 , 4 , 5 }

Step 2 of 2 :

Find cardinality or order of group U(10)

U(10) = { 1 , 3 , 7 , 9 }

Now cardinality or order of a group is the total number of elements in the group .

Since number of elements in U(10) is 4

Hence cardinality or order of group U(10) is 4

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ write the following sets in roster form N={x:x is odd number, 21<x<35,XEN

https://brainly.in/question/24185793

2. If A and B are two sets then A-B =B-A if

https://brainly.in/question/28848928

#SPJ3