Let X - 2- 3- 6- 12- 24- Let - be the partial order defined by x - y if x divides y- The number of edges in the Hasse diagram of X- - is

X={2, 3, 6, 12, 24} The Hasse diagram of (x, ≤) is Therefore, the number of edges in the Hasse diagram = 4 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Properties of Determinants

Let X = 2, 3,...

Question

Let $X = {2, 3, 6, 12, 24}$ . Let $\leq$ be the partial order defined by $x \leq y$ if $x$ divides $y$ . The number of edges in the Hasse diagram of $(X, \leq)$ is

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

None of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B 4
$x = {2, 3, 6, 12, 24}$
The Hasse diagram of $(x, \leq)$ is

Therefore, the number of edges in the Hasse diagram = 4

Suggest Corrections

Similar questions

Q. Suppose

L = {p, q, r, s, t}

is a lattice represented by the following Hasse diagram:

For any

x y ϵ L

, not necessarily distinct,

x \lor y

and

x \land y

are join and meet of

x, y

respectively. Let

L^{3} = {(x, y, z) : x, y, z ϵ L}

be the set of all ordered triplets of the elements of

L

. Let

p_{r}

, be the probability that an element

(x, y, z) ϵ L^{3}

chosen equiprobably satisfies

x \lor (y \land z)) = (x \lor y) \land (x \lor z)

. Then

Q. Let

A = {2, 3. 4, 5, 6, 7, 8, 9}

. Let

R

be the relation on

A

defined by

{(x, y) :

x \in A, y \in A

and

x

divides

y}

. Find domain and range of

R

L e t D_{63} = N u m b e r o f p o s i t i v e d i v i s o r s o f 63.

A relation R on A is defined by
a R b

\Leftrightarrow

a is a divisor of b.

Number of edges in the Hasse diagram of

[D_{63}; R] i s

______.

Q. Let

R

denote the set of real numbers. Let

f : R \times R \to R

be a bijective function defined by

f (x, y) = (x + y, x - y)

. The inverse function of

f

is given by

Q. For all numbers

x, y

, and

z

, let

x △ y △ z

be defined by

x △ y △ z = x - y + z

. What is the value of

1 △ 2 △ 3

Join BYJU'S Learning Program

Let X={2,3,6,12,24}. Let ≤ be the partial order defined by x≤y if x divides y. The number of edges in the Hasse diagram of (X,≤) is

The correct option is B 4x={2,3,6,12,24} The Hasse diagram of (x,≤) is Therefore, the number of edges in the Hasse diagram = 4

Let $X = {2, 3, 6, 12, 24}$ . Let $\leq$ be the partial order defined by $x \leq y$ if $x$ divides $y$ . The number of edges in the Hasse diagram of $(X, \leq)$ is

The correct option is B 4
$x = {2, 3, 6, 12, 24}$
The Hasse diagram of $(x, \leq)$ is

Therefore, the number of edges in the Hasse diagram = 4