Question2:- HOw many number plates of 3 digit formed with four digits 1,2,3 and 4 ? can be

Q: 1. How many five-digit numbers can be formed from the digits 3, 4,5,6 and 7? a. no repetition of…

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Q: (a) How many three-digit nos. can be formed from the digits 0.1.2.3.4.5 & 6 if each digit can be…

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Q: How many different arrangements are there for the 10 letters of the name FLORDELIZA?

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Q: How many ways are there to arrange the letters in the word COLORADO? Number

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Q: 2. How many letters words can be form using the letters of words, MISSISSIPPI and JAZAN.

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Q: 1) How many 4 digit numbers exist, with at least 1 repeating digit? (example 2218, 3333, 3555, 6699)

A: The objective is to find the number of 4 digit numbers that can be formed with at least 1 repeating…

Q: How many different license plates can be generated

A: Here total capital letters are 26 And total available number 0,1,....9 that is total 10 Here use…

Q: Two-digit numbers are formed, with replacement, from the digits 0-9. How many numbers are divisible…

A: Assume that the two-digit numbers are formed, with replacement, from the digits 0-9. From that, find…

Q: 24.The vehicle registration plates in a European country consists of 3 letters followed by 3 digits.…

A: number of consonant=21 (no vowels) number of digit=10 i.e 0,1,2,3,4,5,6,7,8,9 we want to find  how…

Q: 1. To create an entry code for a push-button door lock, you need to first choose a letter and then,…

A: 26000 codes can be created

Q: A jersey has 2-digit numbers. In how many ways can the number be arranged

A: Given that jersey has 2-digit numbers. we have to find total number of ways the number can be…

Q: five-digit-numbers can be formed from the six digits 2, 3, 5, 6, 7 and 0. If repetitions are not…

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Q: (a) How many 4-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6, and 7, if each digit…

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Q: 12.) In how many ways can the letters in the word "DIFFERENCE" be arranged?

A: In how many ways can the letters in the word DIFFERENCE be arranged?

Q: How many 3-digit numbers can be formed from the digits 2, 3, 4, 6, 7 without repetitions? b. How…

A: The 3-digit numbers that can be formed from the digits 2, 3, 4, 6, 7 without repetitions are: 234,…

Q: 1. How many numbers between 500 and 2100 are: a. Divisible by 3? b. Divisible by 5? c. Divisible by…

A: We are entitled to solve only 3 subparts of a questions so, I am providing you the same. Kindly…

Q: How many 5 digit even numbers can you form using all of the digits 1, 2, 3, 3, 5? 12 60 24 120

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Q: 3.54. How many even five-digit numbers, in which all digits are different, can be formed from the…

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Q: nhow many nights may a watch of 4 men be arranged by a security agency om a crew of 16 so that no…

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Q: what is the units digit of 2 to the 58 power?

A: Consider the given informationThe expression is 258.We have to calculate the unit digit of the above…

Q: (d) If an order comes in for 10,000 steel rods, how many rods should the plant manager expect to…

A: We have given that,  For part (d) Let X be the random variable from normal distribution with mean…

Q: How many three-digit numbers can be formed under the following condition? The number is at least…

A: We have to find three - digit numbers that can be formed under condition  The number is at least 400…

Q: How many arrangements of the letters the word BEAUTIFUL are possible if the arrangement always begin…

A: Given:  How many arrangements of the letters the word BEAUTIFUL are possible if the arrangement…

Q: How many distinct digits are in the following quantities 10.3, 15. 0.005,n?

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Q: 1. How many license plates can made where the first character is a number from 0 to 9, followed by…

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Q: Most ATMS require that you enter a four-digit code, using the digits 0 to 9. How many four-digit…

A: We have to find no. Of ways...

Q: How many 5 digit even numbers can you form using all of the digits 1, 2, 3, 3, 5? 12 120 24

A: We have given that the digits 1, 2, 3, 3, 5.

Q: 10. How many 6-digit numbers are even or are divisible by 5?

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Q: In how many distinct ways can a 11​-digit number be made using five 6​'s and six 5​'s?

A: To find- Ways by which 11 digit number be made.

Q: In how many ways can eight persons form a circle fora folk dance?

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Q: How many 5 digit numbers can be formed without repeating any digit, from the following digits 3, 4,…

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Q: 4. Find the number of different ways that a family of 6 can be seated around a circular table with 6…

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Q: How many hexadecimal numbers from 1 through FFFF do not have any repeated digits?

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Q: In how many ways number of 2 digits can be formed out of the four digits 1, 2, 3 and 4? Select one:…

A: The given four digits are 1,2,3,4. We need to form a two digited number with the given 4 digits.

Q: How many different 4-letter permutations can be written from the word hexagon?

A: Solution: The word hexagon has 7 different letters Hexagaon =n= 7 The different 4 letter = r= 4

Q: How many six-digit numbers can be formed with the numbers 0, 0, 1, 1, 2 and 2? (Note that a…

A: Given, Numbers - 0,0,1,1,2,2

Q: 2) a) How many 3-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5 & 6 if each digit can…

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Q: How many different 10-letter codes can be made using three a’s, four b’s, and three  c’s?

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Q: How many different 5-letter arrangements can be formed the word APPLE?

A: The APPLE  word conatins 5 letters , 1A,2P,1L and 1E. we have to find number of arrangements, we…

Q: In how many ways can 7 different compact discs be arranged on a shelf?  ___ ways

A: This question is related to permutations and combinations, we will solve it using given information.…

Q: How many natural numbers between 1 and 850, inclusive, are divisible by 4 or 7?

A: Let assume an AP(Arithmetic Progression), a1,a2,a3, ..........,an. Where a=a1  first term of AP. d…

Q: 4 - How many 4 digit words can be made by the letter of the word "MEKTU P" that start by M and end…

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Q: 2. Explain the number system during the Babylonian times.

A: The Babylonian number system  didnot use the base 10 but it uses the  base 60 which is also known as…

Q: Two digit natural numbers are formed, with replacement, from digits 0 through 9. How many numbers…

A: We have to find no. of favourable outcomes.

Q: If repetitions are not allowed, how many three digit numbers formed with the digits 0, 1, 2, 3, 4,…

A: Topic = Permutation and combination As per guidelines , at a time only three sub-parts of a question…

Q: License plates in a certain state follow the format: four letters, followed by three digits. In…

A: GivenLicense plates in a certain state has four letters followed by three digitsNo.of letters from…

Q: Explain why the number of combinations of n items taken rat a time can be computed by - r!

A: nPr represents the number of ways in which we can arrange r terms from n terms. Here order matters.…

Q: 1). A die was tossed 60 times and resulted in: 7 ones, 11 twos, 10 threes, 12 fours, 9 fives and 11…

A: 1) When a dice is tossed there are six possible outcomes. The probability of each outcomes is 16.…

Q: How many different 8-digit phone numbers do not contain the digit 6? Assume that any digit in the…

A: To determine how many different 8‐digit phone numbers do not contain the digit 6. Assume that any…

Q: The number of different arrangements of four letters of the word SEREL is:

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.