9000153905
Level:
C
Find the number of ways how to distribute
\(5\) identical
balls among \(8\)
persons.
\(\left({12\above 0.0pt
5} \right) = 792\)
\(8^{5} = 32768\)
\(\left({12\above 0.0pt
8} \right) = 495\)
\(\frac{8!}
{3!} = 6720\)
Combinatorics
9000153907
Level:
C
Find the number of ways how to distribute
\(5\) different
balls among \(8\)
persons.
\(8^{5} = 32\:768\)
\(\left({12\above 0.0pt
5} \right) = 792\)
\(\frac{8!}
{3!} = 6\:720\)
\(\frac{8!}
{5!3!} = 56\)
9000153906
Level:
C
Find the number of ways how to distribute
\(5\) identical
balls among \(8\)
persons so that no persons gets more than one ball.
\(\frac{8!}
{5!3!} = 56\)
\(\frac{8!}
{3!} = 6\:720\)
\(\left({12\above 0.0pt
8} \right) = 495\)
\(\left({12\above 0.0pt
5} \right) = 792\)
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 \(\{2,3,4,5\}\).
\(20\)
\(4\)
\(24\)
\(12\)
9000153903
Level:
C
Find the number of ways how to distribute
\(8\) mutually different
balls among \(5\)
persons.
\(5^{8} = 390625\)
\(\frac{8!}
{3!} = 6720\)
\(8^{5} = 32768\)
\(\left({12\above 0.0pt
8} \right) = 495\)
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 \(3\).
\(12\)
\(6\)
\(9\)
\(10\)
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 \(4\).
\(6\)
\(9\)
\(10\)
\(5\)
9000153801
Level:
A
Find the number of mutually different triangles such that each side of each triangle
is either \(2\),
\(3\),
\(4\) or
\(5\).
\(17\)
\(14\)
\(20\)
\(16\)
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
\(5\).
\(14\)
\(16\)
\(17\)
\(24\)