Answer:
5,040 different passwords are possible
Step-by-step explanation:
Assuming that 4-digit means using only numeric values.
This is a permutations problem.
n = number of values used with number values only this is 10
r = the number used in each case without repeating in this case 4
nPr = n! / (n - r)!
nPr = 10! / (10-4)!
nPr = 10! / 6!
The ! means factorial. For example 4! = 4 x 3 x 2 x 1 = 24
A quick hack for dividing factorials is to use cancelling.
10! / 6! = 10 x 9 x 8 x 7 (because 6 to 1 are cancelled by 6!)
= 5040
Answer:
3.188
Step-by-step explanation:
Given that :
Sample data: 26.5, 28, 30.2, 29.6, 32.3, 24.7
Sample standard deviation (s) = 2.728
Mean (mu) = 25
Tstatistic formula :
(x - mu) / (s/sqrt(n))
n = sample size = 6 ; s = 2.728 ; mu = 25
Sample mean (x) = (26.5 + 28 + 30.2 + 29.6 + 32.3 + 24.7) / 6
Sample mean (x) = 171.3 / 6 = 28.55
Tstatistic = (28.55 - 25) / (2.728 / sqrt(6))
Tstatistic = 3.55 / 1.1137013
Tstatistic = 3.1875692
Answer:
the answer is B r=12
Step-by-step explanation:
99999
