Using the digits 1, 2, 3 and 5, how many 4 digit numbers can be formed if a) The first digit must be 1 and repetition of the digits is allowed? b) The first digit must be 1 and repetition of the digits is not allowed?

Q: A group of four students studying for a bar exam has formed a study group. Each member of the group…

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Q: how many four digit numbers can be formed if all the digits are odd numbers and each digit can be…

A: Using the 10 digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9, here 4 digit numbers are formed in which all…

Q: How many strings of length two can be formed by using the letters A, B, C, D E and F without…

A: Given letters, A, B, C, D, E, F We have to find number of strings of length two

Q: Eight people attend a meeting together and sit in a row with exactly eight seats that have passage…

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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: Using the digitd 3, 4, 5, 6, 7, 8, and 9, how many 4-digit numbers can be constructed if the number…

A: Solution: From the given information, the digits are 3, 4, 5, 6, 7, 8 and 9. Here, the numbers with…

Q: A number is called “quadary” if each digit is either 0, 1, 2, or 3. How many different 5-digit…

A: Given that a number quadary if each digit is either 0,1,2 or 3. To find the number of  different…

Q: How many four digit numbers can be formed using the digits 1, 3, 4, 5, 7,9 if repetition of digits…

A: Given digits are 1,3,4,5,7,9 Total no of digits=6 No of four digit numbers if repetition is allowed…

Q: 4, and 6 if no digit is repeated in any number? a. b. repetitions are allowed?

A: We have to find the number of two digit numbers.

Q: A 3-digit code is to be made from the set of digits {4, 5, 6, 7, 8}. a. How many codes can be formed…

A: Given:

Q: How many numbers greater than 3000 can be form with the digits 0,2,3,4 a.  if repetition is not…

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

A: Any number which has 0 or 5 in the unit place is divisible by 5.  Case 1: when unit digit is 0 The…

Q: In how ways can the letters in the word WISDOM be arranged such that the ending letter is a vowel?

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Q: In certain state, all license plates consist of from four or five symbols chosen from the 26 letters…

A: We need to find the number of license plates in which repetition of symbols is not allowed. The…

Q: (a) How many 3 digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9 which are divisible…

A: As we want our 3-digit number to be divisible by 5, the number 5 will be fixed on the unit's place…

Q: 8. Nine people are going on a skiing trip in 3 cars that will hold 2, 3, and 4 passengers,…

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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: 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 three-digit numbers can be formed from the numerals in the set {1, 2, 3, 4} if the…

A: Given digits are 1, 2, 3, 4 i.e, there are 4 different digits

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: ay be formed using the digits 2, 3, 4, 6 and 9 if repetitions

A: 22,23,24,26,29,32,33,34,36,39,42,43,44,46,49,62,63,64,66,69,92,93,94,96,99. In unit digit place we…

Q: How many two-digit numbers can be formed from the digits 1, 2, 3, and 4 if a. no digit is repeated…

A: Given that, Digits are given 1, 2, 3 and 4 a) Two-digit numbers with no digit is repeated: Two-digit…

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

A: here given , 4 digit number can be formed from the six digits 2,3,5,6,7 and 0 4 digit number can be…

Q: on a basketball team be filled with 10 In how many ways can 5 starting players (no positions)…

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Q: A group of five students studying for a bar exam has formed a study group. Each member of the group…

A: Permutation:   A permutation is an arrangement of objects in a definite order.   Let n is the total…

Q: How many 5-digit numbers can be formed using the numbers 0, 1, 2, ….9, such that: Repetition is…

A: There are 10 digit available from 0 to 9. To construct a 5 digit number , the first digit always…

Q: 22. Each symbol in the Braille code is represented by a rectangular arrangement of six dots, each of…

A: Given: We must find the entire number of symbols represented in braille code by raising at least one…

Q: Twelve teachers are to be assigned to three schools. In how many ways can this be done if: i. a…

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Q: How many three – digit numbers greater than 300 can be formed with the digits 1, 2, 3, 4 and 5 if no…

A: According to the provided information, The digits are 1, 2, 3, 4, 5 and no repetitions are allowed?…

Q: In an apartment complex with 10 mailboxes, in how many ways can a mail carrier distribute 10 letters…

A: The formula for finding the  one addressed to each box such that at least one letter is put into the…

Q: Using the pigeonhole principle How many numbers must be selected from the set {1, 3, 5, 7, 9, 11,…

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Q: Assuming that any arrangement of letters forms a 'word', how many 'words' of any length can be…

A: Given problem Given that   Assuming that any arrangement of letters forms a 'word', how many…

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 different 3-digit numbers are possible using only the digits 1,5,6,7,8 ? How many…

A: We have to find no of ways for make 3 and 4 digit numbers  when repetition allow and not allowed

Q: For some particular website, the password must start with one of the letters W, X, Y, or Z. Then…

A: As the English alphabet has 26 letters from A to Z, and there are 10 digits from 0 through 9, total…

Q: How many 5-digit numbers can be made from the digits 1 to 9 if: a) Repetition of digits is allowed?…

A: Here AS PER POLICY I HAVE CALCULATED FIRST 3 SUBPART ONLY

Q: Assume that a license plate must be of length 7.  How many different license plates are possible…

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Q: Assume that 8 students, including Robert, are working on the project report, which contains an…

A: Given,  8 students, including Robert, are working on the project report, which contains an…

Q: 1..Find the number of words of length 7 using letters from {A,B,C,D,E,F} in which no two consecutive…

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Q: How many 5-digit numbers can be formed using the digits 2, 3, 4, 5, and 6 without repetition? With…

A: To find how many   5 digit number  can be formed using  2,3,4,5 and 6 without  repetition and then…

Q: Four couples are to be seated on a row of 8 chairs. In how many ways can it be done so that each…

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

Q: four crayons be chosen from a bo

A: The selection of elements without arrangement can be represented by a combination of elements.…

Q: How many different license plates are possible if each plate consists of 2 letters followed by a 4…

A: here given license plates consist 2 letters followed by 4 digits

Q: How many numbers lying between 100 and 1000 can be formed with the digits 0, 1, 2, 3, 4, 5 if the…

A: Total numbers 0 , 1 , 2 , 3 , 4  5 = 6

Q: 5. A married couple wishes to have four children. How many possible arrangement of children can be…

A: 5. It is given that a married couple wishes to have four children.

Q: Red and blue ceramic tiles are laid according to a pattern such that for every 22 red tiles used, 3…

A: Given that there are total 300 ties of Red and blue colour .according to pattern every 22 red…

Q: With no repetition allowed, 2-letter arrangements are to be made form E, B, O, N

A: Letters are E, B, O, and N. No repetition allowed. A)  2- letter arrangements are to be made. The…

Q: How many 3-digit numbers can be formed from the prime numbers from 0 to 10 if the repetition of the…

A: We need to find how many 3 - digit numbers can be formed from the prime numbers from  0  to  10  if…

Q: When purchasing a ticket for the PowerBall lottery game a player chooses 5 distinct numbers between…

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Q: How many ways are there to arrange the 26 letters of the alphabet so that no pair of vowels appear…

A: To find number of ways are there to arrange the 26 letters of the alphabet so that no pair of vowels…