Variation
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Variation without Repetition
Variation is a way of selecting k items from a collection of n items (k ≤ n), such that (like permutations) the order of selection does matter. The repetition of items is not allowed.
The number of variations::
Example:
From 4 items {a,b,c,d,} choose 2, repetition is not allowed:
(a,b), (a,c), (a,d), (b,c), (b,d), (c,d), (b,a), (c,a), (d,a), (c,b), (d,b), (d,c)
Variation with Repetition
A combination is a way of selecting k items from a collection of n items, such that (like permutations) the order of selection does matter. The repetition of items is allowed.
The number of variations:
Example:
From 4 items {a,b,c,d} choose 2 items, repetition is allowed:
The number of variations::
(a,a), (b,a), (c,a), (d,a), (a,b), (b,b), (c,b), (d,b), (a,c), (b,c), (c,c), (d,c), (a,d), (b,d), (c,d), (d,d)