Expert Answers
cburr eNotes educator| Certified Educator

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.

malkaam | Student

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)

nPr= 6!/(6-1)!

     = 6!/5!

     = 6*5*4*3*2*1/5*4*3*2*1

     = 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.