Total 5040 passwords can be generated when no digits are repeated
• Permutation in mathematics is an arrangement of objects in an definite order. The elements or sets or things are arranged in sequential order or linear order.
• Permutation is classified into four types :
1) where repetition is not allowed
2) where repetition is allowed
3) objects that are non distinct
4) circular permutation
• The formula for calculating permutation is n!/(n-r)!
As we are given that the password uses four digits from 0-9 and repetition is not allowed.
So, n = 10 and r = 4
Using the formula for permutation we get
= 10! / (10-4)!
= 10!/6!
= 10 * 9 * 8 * 7 * 6! / 6!
= 10 * 9 * 8 * 7
= 5040
Therefore, 5040 four digit passwords are possible when no digit is repeated.
Learn more about permutaion here
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Ineed the answers for the unit test too haha
Answer: 6,054
Step-by-step explanation:
Standard form is a type of writing a number in a short way by using the digits and for this we add all the place value of digits in the number,
Here our number is ,
Six thousand fifty-four people.
Six thousand + fifty four = 6000 + 54 = 6054.
Thus, the population of Middleton( In standard form ) = 6,054
Answer:
42 minutes
Step-by-step explanation:
there are 60 minutes in one hour.
from 12 pm, 1 hour and 35 minutes have passed to get to 1:35 pm
from 12 pm, 2 hours and 17 minutes have passed to get to 2:17 pm
we are trying to figure out the start to end time, or the difference between the times
2 hours and 17 minutes - 1 hour and 35 minutes
1 hour = 60 minutes
if we convert everything to minutes we can get a definitive time in one single unit
2 hours = 1 hour * 2 = 60 minutes * 2 = 120 minutes
1 hour = 60 minutes
plug these in
(120 + 17) minutes - (60 + 35) minutes
= 137 minutes - 95 minutes
= 42 minutes as our answer