macarsovoAngiekola
macarsovoAngiekola macarsovoAngiekola
  • 12-12-2016
  • Mathematics
contestada

Suppose that a "code" consists of 4 digits, none of which are repeated. (a digit is one of the 10 numbers 0,1,2,3,4,5,6,7,8,9) how many codes are possible?

Respuesta :

JcAlmighty
JcAlmighty JcAlmighty
  • 15-12-2016
The answer is 5040.

This is permutation without the repetition:
P = n!/(n - r)!

n - the number of choices
r - the number of chosen

We have:
n = 10
r = 4

P = 10!/(10 - 4)!
   = 10!/6!
   = (10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) / (6 * 5 * 4 * 3 * 2 * 1)
   = 10 * 9 * 8 * 7
   = 5040
Answer Link

Otras preguntas

what is the Rhineland? why did Hitler want this area? what was the reaction of the rest of Europe to Hitler taking the Rhineland?
8^-3x^7y^-11/5x^-19y^17z^-14. Simplify
if n=3a-6 what inequality makes n a positive number
Darwin discovered twenty different species of finches in the Galapagos islands. He hypothesized that as new islands arose, finches colonized the islands
for her Reading assignment Ashley read 27 pages on saturday and another 23 on Aunday how many pages did she Read over the weekend
Which osi/iso layer is responsible for determining the best route for data to be transferred?
what fraction is equivalent to this decimal? 0.16 (with the 6 repeating)
to open computer manger you would
Which is the common aspect of the religions of Judaism, Christianity, and Islam?
What continent is at 20 degrees south latitude and 140 degrees east longitude?