UltraRareHero7578 UltraRareHero7578
  • 23-08-2019
  • Mathematics
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How many different six-digit decimal numbers can be formed where the first digit is a 1 or the last digit is a 5?

Respuesta :

LRev
LRev LRev
  • 28-08-2019

Answer:

10000 different numbers

Step-by-step explanation:

The numbers will have the form 1XXXX5, in this case, the order is important because 123465 is a different number to 123645. To know the total of differents decimal numbers, use the formula of permutation with repetition:

[tex]n^r[/tex]

[tex]n[/tex] is the number of options, [tex]n=10[/tex], and [tex]r[/tex] the number of times you have to place a digit, [tex]r=4[/tex].

[tex]10^4=10000[/tex]

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