(e) How many integers are there from 1,0 through 9,99 (b) How many odd integers are there from 1,000 through 9,999? (c) How many integers from 1,000 through 9,999 have distinct digits? (d) How many odd integers from 1,000 through 9,999 have distinct digits?

Q: How many integers from 1 to 700 (inclusive) are divisible by the factors of 70 greater than 1?

A:

Q: If repetition of digits is not​ allowed, how many four​-digit numbers can be formed using the…

A:

Q: How many seven-digit numbers can be formed with the first two digits odd and the last five digits…

A: The total number of digits from 0 to 9 is 10.

Q: How many positive integers less than 1,000,000 have a digit sum of 5?

A: We have to find the number of positive integers 1,000,000 have a digit sum of 5. The number less…

Q: • Suppose repetitions are not permitted. (a) Find the number of three-digit numbers that can be…

A: There are several powerful methods for counting objects and sets of objects without actually having…

Q: How many different license plates are possible if a state issues, (a) Two letters followed by a…

A: Here we have to find How many different license plates are possible if Two letters followed by a…

Q: How many integers between 1 and 822 inclusive are divisible by 5 or 3?

A:

Q: How many 6-digit numbers have three even and three odd digits? (The first digit cannot be zero.)

A: It is given that a 6-digit number is to be formed which will have three even and three odd digits.…

Q: How many odd integers from 1,000 through 9,999 have distinct digits?

A: From 1000 to 9999 , all are 4 digited integers.  If the integer is odd then the last digit can occur…

Q: How many 7-digit telephone numbers are possible if the first digit cannot be four and (a) only odd…

A: Total digits :  0,1,2,3,4,5,6,7,8,9  7-digit telephone numbers= ?  First digit can not be 4

Q: How many numbers between 3000 and 4000, with distinct digits, can be formed using the    digits 1,…

A:

Q: How many five​-digit numbers can be formed with the first two digits odd and the last three digits…

A: The number of digits need to be formed is five. The first two digits are odd and the last three…

Q: How many 5-digit numbers can be created such that no digit is repeated?

A: We need to create 5 digit number  Total digit = 10 ( 0 - 9) 0 cannot be the first digit  1st digit =…

Q: From the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9, if five-digit numbers are to be formed and…

A: As per our guidelines we are supposed to answer only 3 sub-parts of any one question We have given…

Q: Given two natural numbers a and b, how would you check whether a/b has a terminating decimal…

A:

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.