painjoedan4435 painjoedan4435
  • 23-05-2019
  • Mathematics
contestada

Find the number of permutations of the first 10 letters of the alphabet, taking 3 letters at a time.




1040



980



720



630

Respuesta :

Luv2Teach
Luv2Teach Luv2Teach
  • 29-05-2019

Answer:

720

Step-by-step explanation:

The permutation looks like this for that set of data:

[tex]_{10}P_{3}[/tex]

and the formula to solve it like this:

[tex]_{10}P_{3} =\frac{10!}{(10-3)!}[/tex]

which simplifies down to

[tex]_{10}P_{3} =\frac{10!}{7!}[/tex]

Since every number less than 8 in the numerator cancels out with the denominator, we have

[tex]_{10}P_{3}=10*9*8[/tex]

which equals 720

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