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  • 11-10-2021
  • Mathematics
contestada

how many distinct 9-digit numbers can you make from four "1", three "2", and two "3"?

Respuesta :

UPRETINEERAJ UPRETINEERAJ
  • 12-10-2021

Answer:

2520

Step-by-step explanation:

If a nine digit number contains exactly 4 one's, 3 two's and 2 three's

We can choose the positions of the 1's in P(9/4) ways.  

We can choose the positions of the 2's from the five remaining positions in P(5/3) ways

We can choose the positions of the 3's from the two remaining positions in P(2/2) ways

In this problem order doesnt matter..

= (9!/5!×4!) × (5!/3!×2!) × (2!/2!×0!)

= 2520

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