There can be ldots ldots ldots one-one corres | vedclass

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(A) Let the vertices of the first triangle be $A, B, C$ and the vertices of the second triangle be $P, Q, R$.$A$ one-one correspondence is a mapping b

Vedclass · Accepted Answer

$6$

Vedclass · Answer

(A) Let the vertices of the first triangle be $A, B, C$ and the vertices of the second triangle be $P, Q, R$.$A$ one-one correspondence is a mapping between the sets of vertices of the two triangles.The number of ways to map $3$ vertices of the first triangle to $3$ vertices of the second triangle is given by the number of permutations of $3$ elements,which is $3!$.$3! = 3 	imes 2 	imes 1 = 6$.Therefore,there are $6$ possible one-one correspondences between two triangles.

There can be $\ldots \ldots \ldots$ one-one correspondences between two triangles.

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