9000153801
Level:
A
Find the number of mutually different triangles such that each side of each triangle
is either \(2\),
\(3\),
\(4\) or
\(5\).
\(17\)
\(14\)
\(20\)
\(16\)
Combinatorics
9000153802
Level:
A
Find the number of mutually different isosceles triangles (at least
two sides are equal) such that each side of each triangle is either
\(2\),
\(3\),
\(4\) or
\(5\).
\(14\)
\(16\)
\(17\)
\(24\)
9000153803
Level:
A
Find the number of mutually different triangles such that all
three sides of each triangle are mutually different and each side is
\(2\),
\(3\),
\(4\) or
\(5\).
\(3\)
\(4\)
\(14\)
\(16\)
9000153804
Level:
A
Find the number of \(3\)-combinations
from the set \(\{2,3,4,5\}\).
\(4\)
\(6\)
\(24\)
\(20\)
9000153805
Level:
A
Find the number of \(3\)-combinations
with repetition from the set \(\{2,3,4,5\}\).
\(20\)
\(4\)
\(24\)
\(12\)
9000153806
Level:
A
Determine the number of three-digit positive integers that can be formed using the digits \(2\),
\(3\),
\(4\) and
\(5\). The digits can be used repeatedly.
\(64\)
\(24\)
\(256\)
\(81\)
9000153807
Level:
A
Find the number of the positive integers with three digits which can be written using
the digits \(2\),
\(3\),
\(4\) and
\(5\). Each
digit can be used at most once.
\(24\)
\(64\)
\(256\)
\(81\)
9000153808
Level:
A
Find the number of subsets of the set
\(\{2,3,4,5\}\).
\(16\)
\(4\)
\(6\)
\(15\)
9000153809
Level:
A
Find the number of positive integers with three mutually different digits which can be written just
using the digits \(2\),
\(3\),
\(4\),
\(5\) and which can
be divided by \(4\).
\(6\)
\(9\)
\(10\)
\(5\)
9000153810
Level:
A
Find the number of positive integers with three mutually different digits which can be written just
using the digits \(2\),
\(3\),
\(4\),
\(5\) and which can
be divided by \(3\).
\(12\)
\(6\)
\(9\)
\(10\)