4. One way to add up n natural numbers can be described as: ("+1) which is in 'combinations' form. Use this rule to find the sum of the first 20 natural numbers (show your working).

Q: How many symbols of 3 different orders greater than 3 700 can be formed from the set of numbers {…

A: Combination : A combination could be a mathematical technique for scheming the amount of potential…

Q: 23. How many even three digit numbers greater than 400 can be formed from 1, 2, 3, 4, 5, 6, 7, 8,…

A: Given that, 23. How many even three digit numbers greater than 400 can be formed from 1, 2, 3, 4, 5,…

Q: How many 3 or 4 digit even numbers greater than 700 can be formed by: a. Using the digits 0-9.…

A: EVEN NUMBERS : Even numbers embrace people who conclude in zero,2,4,6, and 8. Even numbers, as an…

Q: 1. How many 3 - digit numbers less than 150 can be formed from the digits 0, 3, 4, 6, and 9?

A: There are 5 digits that need to be used for required number formation. The number less than 150…

Q: Suppose that 54% of people own dogs. If you pick two people at random, what is the that they both…

A: Given: P(Dog) = 0.54 The probability that they both own a dog can be calculated as: P(Both own a…

Q: t is desired to write a 3-digit number using the numbers 2, 3, 4, 5, 6, 7, 8. If each number is used…

A: Given Information: It is desired to write a 3-digit number using the numbers 2, 3, 4, 5, 6, 7, 8.…

Q: How many numbers of four different digits each greater than 5000 can be formed from the digits 1, 2,…

A: Answer - How many numbers of four different digits each greater than 5000 can be formed from the…

Q: How many 3 digit even numbers can be created if repetition of digits is allowed

A:

Q: 17. The number of 3-digit numbers less than 500 that can be created if the last digit is either 4 or…

A: We have to form 3 digit numbers less than 500 with last digit is either 4 or 5

Q: Find S, the sum of first 15 Natural numbers 15

A: We have to find sum of first 15 Natural numbers.   S15? Solution :  As we know that the sum of first…

Q: How many four-digit even numbers can you form from the digits 1, 2, 3 and 4?

A: We have to find the number of four-digit even numbers formed from the digits 1, 2, 3 and 4. Then we…

Q: How many 4-digit numbers can be formed with the digits: 1,1,2,2, without allowing the repetition of…

A: Given digits is1,1,2,2

Q: a) How many different license plates are possible if each contains 2 letters​ (out of the​…

A: We solve this question by using permutations If characters are not repeated then the total number of…

Q: Assume that you select digits from the set {1,2,3,4,5,7,8} to form a number between 10 and 800. (1)…

A: given set of digits is  {1,2,3,4,5,7,8}  and the range of numbers is 10 to 800. There would be 2…

Q: How many ways are there to list the digits {1,2, 2, 3, 4, 5, 6} so that identical digits are not in…

A:

Q: Suppose I choose two numbers from the set {1, 2, 3,... 100}. How many have an even sum? Show all…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Assume that you select digits from the set {2,3,5,7} to form a number between 20 and 700. (1) How…

A: The given set of digits is 2,3,5,7 and the range of numbers is 20 to 700. There would be 2 digit…

Q: How many 7 digit numbers can be formed using the numbers 0-9 if the first and 5th digit can only be…

A:

Q: How many 4-digit odd numbers can be made from the digits 0; 2; 4; 5; 8; 9 if the number has no…

A:

Q: suppose repetitions are not allowed. Find the number n of three-digit even nimbers that can be…

A: Given problem Given that   Suppose repetitions are not allowed. Given six digits : 2,3,5,6,7,9…

Q: 23. How many even three digit numbers greater than 400 can be formed from 1, 2, 3, 4, 5, 6, 7, 8,…

A: There are total 52 cards in a deck.  There are 13 hearts and 4 queens in the deck.  The probability…

Q: How many six-digit even numbers greater than 500 000 can be formed using all of the digits 1, 2, 2,…

A:

Q: Suppose 8 red marbles are to be put into 10 numbered boxes with any number per box. In how many ways…

A: Given are 8 red marbles, let's denote them as R1, R2,R3,R4,R5,R6,R7 and R8 Also, there are 10 boxes,…

Q: A jersey has two digit number.in how many ways can the number be arranged if 1)No double digit are…

A:

Q: How many different 5-digit odd numbers can be formed from 0, 1, 3, 4, 5, 7, and 9 if repetitions are…

A: Given:Total number of digits = 7 (0, 1, 3, 4, 5, 7, and 9 ) The divisibility rule for 5:The number…

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: . How many numbers of 5 different digits can be made from the digit 1,2,3,...9? 2. How many numbers…

A:

Q: 11. What is the sum of all 4 digit numbers formed using the digits 2, 3,4 and 5 without repetition?

A:

Q: A number with 4 digits is formed from the digits 0, 3, 6, 7, 9 without repetition. How many numbers…

A: Total numbers = 5 Since the 6 and 7 are placed next to each other consider them as a single number.…

Q: Suppose that 6 machines can complete a certain task in 9 days. If there are 18 machines, how many…

A: Concept: If number of machine increase then number of work completion day will decrease . Hence Both…

Q: A pin number is formed by choosing an ordered sequence of 4 digits from the set {0–9} where…

A: A 4 digit pin is constructed from the set {0-9} where repetition are not allowed but numbers…

Q: In one case a byte is defined as a sequence of 8 bits. Each bit can be either zero or one. How many…

A: Permutation: A permutation of a set is defined as an arrangement of its members into a sequence or…

Q: How many six-digit even numbers less than 200 000 can be formed using all of the digits 1, 1, 2, 2,…

A:

Q: 25) How many 3-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, if…

A: This question is taken from the permutation and combination since the question is multiple hence we…

Q: How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 0, which are divisible by 5…

A:

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: 7. How many numbers less than 7000, with no repeated digits can be formed by use of the digits 0, 3,…

A:

Q: How many three-digit odd integers can be formed using the digits 0, 1, 4, 5, 6, 7, and 9 only once?

A: Permutation: A permutation of a set is defined as an arrangement of its members into a sequence or…

Q: (8) Suppose a license plate contains two letters followed by three digits with the first digit not…

A: We can find how many different licence plates can be printed (Repetition is allowed).

Q: If n EN and n < 2000, how many numbersn have the property that the sum of the digits of n and the…

A:

Q: How many even 4 digit numbers can be formed from the digits 1, 7, 2, 4, 6, 9, 3, and 0 if the…

A:

Q: The digits 1,2,3,4 and 5 are to used to form a five-digit number. How many different numbers can be…

A: Given data: Digits  to use = 1,2,3,4 and 5 to form five digit number  To find: The number must be…

Q: How many different 3-digit numbers can be formed with the digits 1, 2, 4, 6, and 8? How many of them…

A: When the digits are not repeated: The given digits are 1,2,4,6 and 8 The number of digits is 5. The…

Q: Your company wants to assign identification numbers to each of its employees.  The identification…

A: We are given an identification number consists of 5 numbers followed by 3 letters. And also…

Q: How many three-digit numbers can be constructed from the digits 0, 1,2,3,4,5,6,8,9 if the number…

A: Given digits is0, 1, 2, 3, 4, 5, 6, 7, 8, 9Total no.of digits=10

Q: 2) How many numbers are there between 6000 and 7000 which have exactly one of their digits as 7?

A: Since, we have to find numbers between 6000 and 7000 so the thousand's place must be occupied by 6.…

Q: If n EN and n < 2000, how many numbers n have the property that the sum of the digits of n and the…

A: Given: n∈ℕ And n&lt;2000

Q: 9. A customer ID consists of 3 digits followed by 2 letters. How many different customer IDs are…

A:

Q: How many even number more than 10 but less than 800 can be formed from the digits 1, 4, 5, 6, 8 and…

A: even number more than 10 but less than 800 can be formed from the digits 1, 4, 5, 6, 8 and 9