Largest 3 digit number which is divisible by 6
2 answers:
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Answer:
(a)
(b)
(c)
(d)
Step-by-step explanation:
The password is of 8 characters.
The hacker tries 1000 times to get the correct password.
(a)
There are 26 letters in the English Alphabet series.
The number of ways to create a password of 8 different lower-case letters are:
The probability of selecting the correct password if 8 different lower-case letters are used is:
(b)
If both upper case and lower case letters are used, then there are 52 letters available to form a 8 characters password.
The number of ways to create a password of 8 different letters, some may be upper-case, and it is case sensitive is:
The probability of selecting the correct password if 8 different letters, some may be upper-case and it is case sensitive is:
(c)
The number of ways to form a 8 characters password using any 8 letters, upper- or lower-case, and it is case sensitive is, 52⁸.
Then the probability of selecting the correct password if any 8 letters, upper- or lower-case, and it is case sensitive is,
(d)
There are 10 digits (0 - 9), 26 uppercase letters and 26 lowercase letters.
Total available characters = 62.
The number of ways to form a 8 characters password using any 8 letters, upper- or lower-case or digits is = 62⁸
Then the probability of selecting the correct password if any 8 characters including letters and digits are used is:
Answer:
Q1: n*m
Q2: A = 3x+6
Step-by-step explanation:
Q1: The total number of toys in the bag is given by the number of boxes (n) in the bag multiplied by the number of toys in each box (m):
Q2: The area of a rectangle is given by the product of its height by its length:
The area of this rectangle is given by the expression A = 3x+6.