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Again, this is a strange question. In the case of permutations, the order matters. So, AB is different from BA.
However, in this case, it is asking how many permutations of 1 letter are there in a total of 6 letters.
Of course, there are 6.
Permutation is an ordered arrangement of objects. For example there are 2 numbers 4 and 6, these can be arranged in 2 ways i.e 46 and 64.
Each arrangement is a permutation, hence there are 2 permutations in the above example.
As cburr said the (6,1) part is definitely strange, if you're asking for the number of permutations of 6 different objects taken 1 at a time than the answer to 6P1 is 6.
If you still want to apply the permutation formula then here it is:
Where n= 6 (different objects)
r= 1 (number of times)
= 6 Answer.
When different objects are taken only one at a time then the answer will always be the same as the number of objects. If they are taken more than once then this formula is applied.
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