What is a 5 out of 6?

A 5 out of 6 is a type of <a href="https://www.wikiwhat.page/kavramlar/combination">combination</a> problem, a concept found in <a href="https://www.wikiwhat.page/kavramlar/combinatorics">combinatorics</a>. It refers to selecting 5 items from a set of 6 distinct items, without regard to the order of selection.

The number of ways to choose 5 items from 6 is calculated using the <a href="https://www.wikiwhat.page/kavramlar/binomial%20coefficient">binomial coefficient</a>, often written as "6 choose 5" or C(6, 5). The formula for calculating this is:

C(n, k) = n! / (k! * (n - k)!)

where n! represents the <a href="https://www.wikiwhat.page/kavramlar/factorial">factorial</a> of n.

In this case, C(6, 5) = 6! / (5! * 1!) = (6 * 5 * 4 * 3 * 2 * 1) / ((5 * 4 * 3 * 2 * 1) * 1) = 6.

Therefore, there are 6 different ways to choose 5 items from a set of 6. A 5 out of 6 is equivalent to figuring out which one item not to select from the group of 6, and there are clearly 6 options.