Rayzamartinez6165 Rayzamartinez6165
  • 10-02-2020
  • Mathematics
contestada

how many three digit numbers can be made using only the digits {1, 2, 4, 6, 8, 9} repetition is allowed

Respuesta :

jenicamuchemwa
jenicamuchemwa jenicamuchemwa
  • 11-02-2020

Answer:

56

Step-by-step explanation:

Given data:

{1 ,2 ,4, 6, 8, 9}

Formula for combinations is used since the order does not matter and repetition is allowed.

nCr = (n + r -1) /(r! * (n-1)!) where n is the total number of items and r is the items to be picked

6C3 = (6 + 3 - 1)! /(3! * (6 -1)!

6C3 = 8!/(3! *5!) Simplifying the factorials)

6C3 = 40320/(6*120)

6C3 = 40320/720

6C3 = 56

Answer Link

Otras preguntas

What is a change in the genetic code called?
What are the factors of 29 and 44 and 96 and 72
Is a 14 year old girl who is 47kg and 165cm (5'5) underweight? What are some ways to put on weight, by that I don't mean eating excess McDonalds, thus resultin
How have humans altered the landscape of the United States?
sin(3x-16)=cos(4x-6) x=?
(x+1)/x=29 I guess I should come up with an answer of 1/28 but I'm lost on how
The prism has a volume of 60 in3. What would the volume of the prism be if each dimension were tripled? (The shape is a rectangular prism, if that helps)
simplify 25/26•13/15 HELPME
3x-2y=-7 2x-5y=10 how to solve by elimination
Which describes the significance of Athens's victory in the Persian Wars? A. Athens now had the opportunity to expand and take control of Persia. B. Athenians g