Find the number of different 7-digit numbers which can be formed from the seven digits 4, 4, 7, 9, 9, 9, 2 in each of the following cases. a. The odd digits are together and the even digits are together. b. The 4s are not together

Q: How many 4-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, if repetition of digits…

A: In this question, concept of combination is applied. Combination A combination is a mathematical…

Q: In Connecticut, auto license plates carry 3 digits followed by 3 letters. (Assume the first digit…

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Q: 4. How many different 9-digit numbers can be formed by using the digits in the number 277,728,788?

A: Given numbers  277,728,788 Here we need to evaluate many different 9-digit numbers that can form by…

Q: 5. Find a test similar to those in the previous questions for divisibility by 99.

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

A: Given digits, 9, 6,7,8,5 and 4 Total numbers of given digits = 6

Q: The Liberty County Poetry Society awarded 3 different prizes 1 each for 1st, 2nd, and 3rd place…

A: The first prize can be given in 56 ways Second prize in 55 ways Third prize in 54 ways

Q: Arealtor uses a lock box to store the keys to a house that is for sale. The access code for the lock…

A: The access code contains 4 digits          Digits : 0,1,2,3,4,5,6,7,8,9 The first digit can…

Q: Suppose we want to form four-digit numbers using the set of digits {0,1, 6, 7, 9}. For example, 9071…

A: The first number can be selected in 4 ways. [ Any number from {1,6,7,9} ] The second number can be…

Q: Consider the 7 letters A, B, D, E, F, G and O. How many 3-letter words can be formed from the 7…

A: Hi, thanks for posting the question. Since there is more than one question posted. We will answer…

Q: The Grinch sneaks into a room with 9 Christmas presents to 9 different people. He proceeds to switch…

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Q: Bob owns 13 different books. He wants to pick out and arrange 5 of these books left-to-right on a…

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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 a certain state, license plates each consist of 2 letters followed by 3 digits. How many…

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Q: The digits 1, 2, 3 and 4 can be arranged to form different four-digit codes. a. Find the number of…

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Q: License plates in Oklahoma are of the form A BC123 4, where the first three spaces on the plate can…

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Q: Six men and seven women enter a classroom. There are chairs numbered one through thirteen along the…

A: Given that, Six men and seven women enter a classroom. There are chairs numbered one through…

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 10-letter words (real or imaginary) can be formed from the following letters? Q,…

A: Given that  Number of letters = 10 Letters  =  Q , L , Q , U , A , L , L , A, R , W Number of times…

Q: How many different three-digit numbers can be formed using the digits 1, 4, 5, and 9 without…

A: Given N=4 n=3

Q: Determine whether or not the first number is divisible by the second number 249,576; 3 Yes No

A: given number 249,576 to show it is divisible by 3

Q: Bob owns 7 different books. He wants to arrange all of these books left-to-right on a single…

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