Let A ={1,2,3, ldots ldots, 10} and B=left{fr | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

$A=\{1,2, \ldots .10\}$
$\begin{array}{l} B \left\{\frac{ m }{ n }= m , n \in A , m < n , \operatorname{gcd}( m , n )=1ight\} \ n ( B )\end{arr

Vedclass · Accepted Answer

$31$

Vedclass · Answer

$A=\{1,2, \ldots .10\}$
$\begin{array}{l} B \left\{\frac{ m }{ n }= m , n \in A , m < n , \operatorname{gcd}( m , n )=1ight\} \ n ( B )\end{array}$
$n=2 \quad\left\{\frac{1}{2}ight\}$
$n=3 \quad\left\{\frac{1}{3}, \frac{2}{3}ight\}$
$n=4 \quad\left\{\frac{1}{4}, \frac{3}{4}ight\}$
$n=5 \quad\left\{\frac{1}{5}, \frac{2}{5}, \frac{3}{5}, \frac{4}{5}ight\}$
$n=6 \quad\left\{\frac{1}{6}, \frac{5}{6}ight\}$
$n=7 \quad\left\{\frac{1}{7}, \frac{2}{7}, \frac{3}{7}, \frac{4}{7}, \frac{5}{7}, \frac{6}{7}ight\}$
$n=8 \quad\left\{\frac{1}{8}, \frac{3}{8}, \frac{5}{8}, \frac{7}{8}ight\}$
$n=9 \quad\left\{\frac{1}{9}, \frac{2}{9}, \frac{4}{9}, \frac{5}{9}, \frac{7}{9}, \frac{8}{9}ight\}$
$n=10 \quad\left\{\frac{1}{10}, \frac{3}{10}, \frac{7}{10}, \frac{9}{10}ight\}$
$n(B)=31$

Let $A =\{1,2,3, \ldots \ldots, 10\}$ and $B=\left\{\frac{m}{n}: m, n \in A, m < n \text { and } \operatorname{gcd}(m, n)=1\right\} . $Then $n(B)$ is equal to :

Similar Questions

Write the solution set of the equation ${x^2} + x - 2 = 0$ in roster form.

The number of elements in the set $\{x \in R :(|x|-3)|x+4|=6\}$ is equal to

Let $S=\{1,2,3,4\}$. The total number of unordered pairs of disjoint subsets of $S$ is equal to

Let $A=\{1,2,3,4,5,6\} .$ Insert the appropriate symbol $\in$ or $\notin$ in the blank spaces:

$ 2 \, ....... \, A $

In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.

If $A \subset B$ and $B \in C,$ then $A \in C$