Combinatorics

9000153901

Level: 
C
Find the number of ways how to distribute \(8\) identical balls among \(5\) persons so that each of them gets at least one ball.
\(\left({7\above 0.0pt 3}\right) = 35\)
\(5^{3} = 125\)
\(\left({12\above 0.0pt 5} \right) = 792\)
\(\left({12\above 0.0pt 8} \right) = 495\)

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.
\(\frac{8!} {5!3!} = 56\)
\(\frac{8!} {3!} = 6\:720\)
\(\left({12\above 0.0pt 8} \right) = 495\)
\(\left({12\above 0.0pt 5} \right) = 792\)