2010007606
Level:
A
In how many ways can a four-person team be selected from a group of \(10\) students?
\(\frac{10!}
{4!\; 6!}\)
\(\frac{10!}
{4!}\)
\(\frac{10!}
{ 6!}\)
\(10!\)
A
2010007601
Level:
A
How many ways are there to arrange the letters in the Czech word LOKOMOTIVA?
\( \frac{10!}{3!} \)
\( \frac{10!}{3} \)
\( \frac{10!}{2!} \)
\( 10!\)
2010007410
Level:
A
Find the vector of length \(\sqrt{2}\), which is perpendicular to the \(y\)-axis.
\( \left(\sqrt{2};0\right)\)
\( (2;0)\)
\( (0;2)\)
\( \left(0;\sqrt{2}\right)\)
2010007409
Level:
A
Find the vector of length \(\sqrt{3}\), which is perpendicular to the \(x\)-axis.
\( \left(0;\sqrt{3}\right)\)
\( (3;0)\)
\( (0;3)\)
\( \left(\sqrt{3};0\right)\)
2010007408
Level:
A
Given the points \( A=[4;4]\) and \(S=[-2;2]\), find the point \(B\), such that \(S\) is the center of \(AB\).
\( B=[-8;0]\)
\( B=[1;3]\)
\( B=[10;6]\)
\( B=[-5;1]\)
2010007407
Level:
A
Given the points \( A=[3;1]\) and \(S=[-1;3]\), find the point \(B\), such that \(S\) is the center of \(AB\).
\( B=[-5;5]\)
\( B=[1;2]\)
\( B=[7;-1]\)
\( B=[-3;4]\)
2010007406
Level:
A
Find the parallel vector to the vector \(\overrightarrow{AB}\), where \(A=[-3;2]\), \(B=[1;4]\).
\( (2;1)\)
\( (-1;2)\)
\( (4;6)\)
\( (4;1)\)
2010007405
Level:
A
Find the parallel vector to the vector \(\overrightarrow{AB}\), where \(A=[1;2]\), \(B=[4;-1]\).
\( (1;-1)\)
\( (3;3)\)
\( (3;1)\)
\( (5;1)\)
2010007404
Level:
A
Find the parallel vector to the vector \((12; 4)\).
\( (6;2)\)
\( (-4;12)\)
\( (6;8)\)
\( (-6;2)\)
2010007403
Level:
A
Find the parallel vector to the vector \((1; 4)\).
\( (2;8)\)
\( (2;2)\)
\( (-1;2)\)
\( (8;-2)\)