The design of a communication system considered the following questions: (a) How many three-digit phone prefixes that are used to rep- resent a particular geographic area (such as an area code) can be created from the digits 0 through 9? (b) As in part (a), how many three-digit phone prefixes are possible that do not start with 0 or 1, but contain 0 or 1 as the middle digit? (c) How many three-digit phone prefixes are possible in which no digit appears more than once in each prefix? A lot of 140 semiconductor chips is inspected by choosing a sample of five chips. Assume 10 of the chips do not conform to customer requirements. (a) How many different samples are possible? (b) How many samples of five contain exactly one noncon- forming chip? (c) How many samples of five contain at least one noncon- forming chip?

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A: Given seven numbers are5,6,3,4,1,2,7

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A: a) Given data, n=10 r=7 If any seven digits could be used to form a telephone number, how many seven…

Q: A telephone number consists of 10 digits: 3 digit area code followed by 7 digit number. How many…

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Q: When dialing a friend's phone number, a person forgot the last four digits, and only remembers that…

A: The last four places can be taken by any number from 0 to 9. Now, two places have same number.

Q: Your friend gives you a list of three five-digit numbers, but she only reveals one digit in each: 3…

A: as we have given three five digit number 3 ? ? ? ?? 8 ? ? ? ? ? 2 ? ? claim- check whether we can…

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A: Given that the access code to a house's security system consists of seven digits.

Q: From the digits 1, 2, 3, 4, 5, 6, 7, 8, and 9, how many three-digit numbers greater than 400 can be…

A: digits : {1,2,3,4,5,6,7,8,9}  select 3 digits to make 3 digit number.  find no. of ways to make…

Q: The total curb weight of a truck, a car A, and a car B is 11,250 lb. The weight of car A is 15 lb…

A: Given,The total weight of a truck, car A and car B is 11,250 lb. The weight of car A is 15 lb less…

Q: 13.] Refer to the image below. The floor area of a COVID patient room is 72 square feet. If the…

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Q: In recent years, a state has issued license plates using a combination of two letters of the…

A: Given that, In recent years, a state has issued license plates using a combination of two letters of…

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Q: Florida uses three letters followed by three number digits for license plates using all letters in…

A: Given: Florida uses three letters followed by three numbers.  To find: Number of license plates…

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A: Since you have asked multiple questions we will solve the first question for you . If you want any…

Q: A. Find the mean of the given data. Ungrouped Data. Er N Er = the sum of x N = number of data 1/2 15…

A: we use the formula to find the mean of the given data;if ungrouped data then Mean=∑xnif grouped data…

Q: The employees of a company are given a 4-digit identification number. How many different numbers are…

A: GivenThe employees of a company are given a 4-digit identification numberNo.of digits from 0-9=10

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

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Q: A telephone company can issue telephone numbers consisting a 10-digit calling number. The 5-digit…

A: The telephone number consists of area code and calling number       --           The area code must…

Q: Within one area code (for phone numbers), how many possible phone numbers are there? (The first…

A: 1st 2nd 3rd               The first place can be filled in 9 ways by using the digits 1-9 (as…

Q: A seven chats he insurance account number must be five letters of the alphabet followed by a…

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Q: A license plate has the form YYY-MATH, in which Y is a digit from 1-9, M has to be the number 5, A…

A: First we will find the number of choices for each then multiplying those choices will give us How…

Q: how many 7 digit phone numbers can be formed in an area code, if the symbols 0 and 1 can not be used…

A: We consider that each digit is selected independently of the others. The first digit can be any of…

Q: a) How many plates are possible when letters and numbers can repeat? Set up the expression that can…

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Q: Before 1995, area codes for phone numbers had the following format: NNN, where first digit couldn’t…

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Q: Answer the following question about the standard English alphabet of 26 letters: 1. How many…

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Q: There are three separate, equal-size boxes, and inside each box there are four separate small boxes,…

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Q: 1. Tina's music library has 91 rock songs and 54 pop songs. She is putting together a playlist of 25…

A: Please see the below picture for detailed solution.

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A: Given Lock box consist of no.of digits=6Total no.of digits =10                   (i.e.,…

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Q: Who did Srinivasa Ramanujan (math genius) start writing to?

A: