a) Consider the digits : 0, 2, 4, 5, 6 , 7. i) How many 4 digits numbers can be formed if repetition is not allowed and not leading with a zero. ii) If the numbers is allowed to repeat, find the possible arrangement of the numbers are divisible by 5 between 300 000 to 700 000.

Q: How many different numbers can be formed by various arrangements of the six digits 1, 1, 1, 1, 2, 3

A: Please refer to the solution in next step.

Q: In order to create a PIN to access your tablet, you have to choose six digits (where your choices…

A:

Q: How many 6-digit positive integers are divisible by 3 but not by 9 or by 10?

A: Sol:- For a number to be divisible by 3, the sum of its digits must be divisible by 3. Let's…

Q: A state’s license plate has 7 characters. Each character can be a capital letter (A−Z), or anon-zero…

A: According to the given information, it is required to find the number of license plates that starts…

Q: How many 5 digit even numbers can you form using all of the digits 1, 2, 3, 3, 5?

A:

Q: How many distinct ways are there to arrange 3 clear marbles, 4 yellow marbles, and 2 orange marbles…

A: Given problem:- How many distinct ways are there to arrange 3 clear marbles, 4 yellow marbles, and 2…

Q: How many different 3-digit numbers are possible using only the digits 2,3,5,6 ?

A:

Q: How many different three-digit numbers can be formed using the digits 1, 5, 9, 7, 4, 8, and 6…

A:

Q: d 3?

A: for a 4 digit even number

Q: How many combinations of three-digit numbers are possible with digits 2,4,6?

A: Given three digits are : 2 , 4  and 6 .  Combination of digits : _ _ _ (three places)  For the first…

Q: How many four-digit even numbers are possible if the leftmost digit cannot be zero? Repetition is…

A: The question is to find how many 4 digits even numbers are possible if the left most digit cannot be…

Q: Compute P9,2. (Enter an exact number.)

A: