Question

Pikipiki has how many permutations

Answer 1

The word "Pikipiki" with 7 letters, containing repeated 'i' (3 times) and 'k' ' (2 times), has 420 permutations using the formula for permutations with repeated elements.

The number of permutations of a word is calculated using the formula for permutations of items where there are repetitions of some items. In this case, the word "Pikipiki" has repeated letters 'i' and 'k'.

The total number of letters in "Pikipiki" is 7, but there are repetitions:

'P' appears 1 time.

'i' appears 3 times.

'k' appears 2 times.

Therefore, the formula for permutations with repeated elements should be applied, which is:

`\((n!)/(n_1! * n_2! * \ldots * n_k!)\)`

Where:

`\(n\)` is the total number of items .

`\(n_1, n_2, \ldots, n_k\)` are the counts of each repeated item.

For the word "Pikipiki":

Total permutations =
`\( (7!)/(1! * 3! * 2!)\)`

Calculating this expression:

`\((7!)/(1! * 3! * 2!) = (5040)/(1 * 6 * 2) = 420\)`

Therefore, there are
`\(420\)` permutations of the word "Pikipiki".

complete the question

Pikipiki is a 7-letter word. How many permutations of this word are there?