# Number of possibilities?

• Jun 9th 2011, 01:12 PM
TeaWithoutMussolini
Number of possibilities?
A class of 20 is selecting a new president, with 5 candidates. How many different ways can the tally come out?
• Jun 9th 2011, 01:26 PM
Plato
Quote:

Originally Posted by TeaWithoutMussolini
A class of 20 is selecting a new president, with 5 candidates. How many different ways can the tally come out?

The votes are identical and the candidates are distinct.
• Jun 9th 2011, 01:40 PM
TeaWithoutMussolini
Is it 10626?
• Jun 9th 2011, 01:46 PM
Plato
Quote:

Originally Posted by TeaWithoutMussolini
Is it 10626?

Is that $\binom{20+5-1}{20}~?$
• Jun 9th 2011, 01:52 PM
TeaWithoutMussolini
Indeed it is.