A ternary string is a string made up of 0's, 1's. and 2's. How many ternary strings of length 55 are there?   What is the Number of 55-digit ternary strings:

Q: The local​ seven-digit telephone numbers in city A have 480 as the first three digits. How many…

A: Given, the local seven-digit telephone numbers in city A have 480 as the first three digits. There…

Q: How many 5-digit numbers can you make using the digits 1-8 if repetition is allowed?

A:

Q: A sheet of paper is cut into 4 same-size parts. Each of the parts is then cut into 4 same-size parts…

A: A sheet of paper is cut into 4 ​same-size parts. Each of the parts is then cut into ​4 same-size…

Q: There are 8 persons inside a room. If each will dance cha-cha with the other 7, how many dances are…

A: Given, There are 8 persons inside a room and each will dance with the other 7 To find the number of…

Q: How many 5 letter codes are possible from the first 7 letters of the alphabet? a.) letters can be…

A: Excel is used to obtain the line and bar graph for years of education and years of experience,…

Q: A 6-volume encyclopedia is to be placed on a shelf. How many incorrect arrangements are there?

A: Note- Since you have posted multiple questions, as per our guidelines we are supposed to answer only…

Q: How many 4-digit combinations can be made from the digits 0-9?

A:

Q: The local​ seven-digit telephone numbers in city A have 334 as the first three digits. How many…

A:

Q: Telephone poles are being stored in a pile with  25 poles in the first layer, 24 in the second, and…

A: Explanation: According to the question:  In a pile,  1st layer contains = 25 poles 2nd layer…

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 5-digit numbers can you make using the digits 0-9 without repeating the digits? *

A:

Q: A theater has 30 rows with 27 seats in the firstrow, 31 in the second row, 35 in the third row, and…

A:

Q: A necklace consisting of 8 beads is to be made in a round rope. In how many ways can this be done?

A: given that 8 beads of necklace we can find this by using

Q: A large amphitheater is set up in such a way that there are 16 seats in the first row 27 seats in…

A: The given problem is regarding arithmetic progression series. First-term is given. A common…

Q: In the state lottery, there are 45 numbered balls in a cage. Each of the balls has one number from 1…

A: In this question, we have given a cage which contains 45 balls with numbers 1 to  45. each ball has…

Q: how many different 4 letter ratio station call letters can be made if repeats are allowed and the…

A: Given: The number of choices n=26 The number chosen at a time r=4

Q: How many ways are there to choose three different numbers each between one and a hundred so that…

A: There can be two possibilities only 1) All the three numbers are even. 2) One number is even and two…

Q: A four-person committee is to be elected from an organization's membership of 11 people. How many…

A: Formula used:  nCr=n!(n-r)!r!

Q: How many 4-digit numbers can you make using the digits 1-5 if repetition is allowed? *

A: We have to find the number of 4-digit numbers that can be formed using the digits 1,2,3,4,5.The…

Q: How many 5-number license plates can be made using the digits: 0, 1, 2, 3, 4, 5, if repetitions are…

A: Given that 5-number license plates that are made using digits 0, 1, 2, 3, 4, 5. We have to determine…

Q: How many seats are there in all 28 rows?

A:

Q: 10. From a class with 35 students, 10 students witt be chosen to join the science field trip. In how…

A: Total number of students in a class:  35

Q: The English alphabet contains 21 consonants and 5vowels. How many word of length 4 can you write all…

A:

Q: How many 5-digit numbers can you make using the digits 1-8 if repetition is allowed? *

A: Introduction: It is required to find the number of possible 5-digit numbers that can be made using…

Q: How many formations of committee from 10 persons are possible if the committee consists of one…

A: In this question, the concept of Permutation and Combination is applied. Permutation  Permutations…

Q: How many different numbers of five digits can be made using the digits 2,2,3,3,3?

A: The objective is to find how many different numbers of five digits can be made using the digits…

Q: How many six digit numbers can be formed with no repetitions?

A: We can use all the 6 digits without repetition A 6 digit number cannot have  0 in the first place.…

Q: How many four-digit odd numbers less than 7000 can be formed using the digits 2, 3, 5, 7, 8, and 9?

A: To determine four digits odd number less than 7000

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

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

Q: Nine people are going on a skiing trip in 3 cars that hold 2, 4, and 5 passengers respectively. In…

A: Given Nine people are going on a skiing trip in 3 cars that hold 2, 4, and 5 passengers…

Q: How many combinations of three-digit numbers are possible with digits 2,4,6?

A: Given three digits are : 2 , 4  and 6 .  Combination of digits : _ _ _ (three places)  For the first…

Q: A group of 5 musical notes is made into a 5-tone musical phrase, consisting of 5 different notes.…

A: Given that there are 5 tone musical phrase, consisting of 5 different notes so number of different…

Q: In a 26 letter alphabet, how many 5 letters ‘word’ are there made up of different letters?

A:

Q: How many four-digit odd numbers less than 6000 can be formed using the digits 2, 4, 6, 7, 8, and 9?

A: Consider the given situation in the problem, we have four groups in which we have to make choice to…

Q: There are 100 people consisting of 50 married couples in a room. Assuming that no husband or…

A: Solution: The objective is to find how many handshakes in a room.

Q: How many ways can 9 different Geometry books be stacked on a shelf?

A: The given question is a multiple question, so as per the rule, we are doing only first question:…

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: In a certain state, license plates each consist of 3 letters from the English alphabet, followed by…

A: There are 26 letters (A-Z) in the English alphabet and 10 digits (0-9).   Use the fundamental…

Q: There are 35 peanuts in every bowls. How many peanuts are there in 5 bowls? How about in 7 bowls?

A:

Q: A special plate number is made up of 2 letters of the vowel followed by 3 digit numbers. How many…

A:

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: A five-person committee is to be selected from an organization's membership of 19 people. How many…

A: It is given that, An organization has 19 people out of which 5 person committee is to be selected.…

Q: How many strings of four different hexadecimal digits are there?

A:

Q: How many blocks would be needed to build a stack like the one shown In the figure If the bottom row…

A: Given that bottom row has 21 blocks. On going from bottom to top, number of blocks are reduced by 1.…

Q: How many four-digit numbers can be made from the digits 1 to 6 if repetition is allowed?

A: Number of four digit can be made from digits  1 to 6 :

Q: how  many 3 letters can be  formed  using

A: Given information: The number of scrabble tiles is 15. The number of letters in the required word is…

Q: How many whole numbers have 5 digits and that are even, if no digits are repeated? (0 cannot be the…

A:

Q: A State's License plates consist of 4 letters followed by 5 digits. How many possible license plates…

A: Number of letters = 4 Number of digits = 5 The letters are followed by digits.