A suitcase lock is made of 5 individual number locks each of which have all digits from 0 to 9 .The suitcase can only be opened by a unique combination of the digits.A thief needs 5 seconds to test one combination. If the thief spends 13 working hours to open the lock at most how many days would be needed in order to open the suitcase.
Answers
Answer:
combination of the digits. A thief needs 5 seconds to test one combination. If the thief spends 13 working hours a day trying to open the lock, at most
how many days would be needed in order to open the suitcase?
Pick ONE option
A) 12
B) 10
C) 11
D) 13
12
Step-by-step explanation:
please brainliest Kar do
Answer:
4 day( at most )
Step-by-step explanation:
If code can't have repeated digits, it can be formed in -
1st digit - 10 ways
2nd digit - 9 ways
3rd digit - 8 ways
4th digit - 7 ways
5th digit - 6 ways
Code can be formed in 10*9*8*7*6 = 30,240 ways.
If he takes 5 second to try one combination, so to try 30240, it will take 30240 * 5 sec = 151,200 sec.
Total time = 151,200 sec
= 151200/60 min
= 2520 min
= 2520/60 hr
= 42 hr
He works 13 hr in a day, and, 42 = 13 + 13 + 13 + 3 = 13(3) + 3.
So, it will take 3 days and 3 hr.
At most it will take him 4 days.