Stats, to simplify the expression

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Homework Help Overview

The problem involves calculating the number of permutations represented by the expression 10P8, which is a concept from combinatorics.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the definition of permutations and question the original poster's multiple numerical responses, seeking clarity on which number is intended as the answer. There is mention of the formula for permutations and a suggestion that the problem may require simplification rather than calculation.

Discussion Status

Some participants have provided guidance on the definition of permutations and have pointed out the need for clarification regarding the original poster's responses. There is an ongoing exploration of the problem's requirements without a clear consensus on the intended solution.

Contextual Notes

Participants note that the original poster's responses do not align with the expected outcome for the permutation expression, indicating a potential misunderstanding of the concept. The discussion includes references to the formula for permutations and hints at the need for simplification.

yamuna
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Homework Statement



10P8


Homework Equations





The Attempt at a Solution



2
1,814,400
3,628,800
80
 
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Use the formula for the number of permutations, then use a calculator.
 
yamuna said:

Homework Statement



10P8


Homework Equations





The Attempt at a Solution



2
1,814,400
3,628,800
80
10P8 is a single number. You have written 4 numbers. Which is your intended answer? (None of them are correct.) Do you know the definition of "nPm"?

(A calculator is not necessary. I suspect the reason the problem said "simplify" is that this can be written as the product of two simple numbers.)
 
HallsofIvy said:
10P8 is a single number. You have written 4 numbers. Which is your intended answer? (None of them are correct.) Do you know the definition of "nPm"?

(A calculator is not necessary. I suspect the reason the problem said "simplify" is that this can be written as the product of two simple numbers.)

I think it is convention that nPr = n!/(n - r)!
 
I was asking yamuna. If he/she knows the definition of nPr, this should be a simple problem.
 

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