How many three-number combinations are possible on a combination lock having 40 numbers on its dial where numbers do not consecutively repeat?

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

A: From the given data, the digits that are used for the formation of numbers are : 0,1,2,3,4,5 & 6

Q: a 4 digit number is selected from the number {1,2,3,4,5,6} where the digits are selected without…

A: Given that  there are digits {1, 2, 3, 4, 5, 6} we have to find number of 4-digits numbers those are…

Q: How many three numbers with no repeated digits, can be formed by the use of the digits 0, 2, 3, 4,…

A:

Q: How many two-digit numbers can be formed from the digits 2, 4 and 6 if a. no digit is repeated in…

A:

Q: How many different teams of 44 can be chosen from a group of 1818 children and 1515 adults if each…

A: It is given that the number of children is 18 and the number of adults is 15.

Q: How many 10-digit telephone numbers (area code + number) are possible if the first digit cannot be…

A: It is given that the first three digits cannot be 800 or 900 or all the numbers from 000 to 099.…

Q: A combination lock uses 3 numbers, each of which can be 0 to 23. If there are no restrictions on the…

A:

Q: A company wants to have 4-digit phone extensions with the first digit not being zero. How many…

A:

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

A:

Q: How many 6 digit telephone numbers can be formed if each number starts with 35 and no digit appears…

A:

Q: How many three digit numbers have the property that the sum of that number and the three digit…

A: How many three digit numbers have the property that the sum of that number and the three digit…

Q: A combination lock uses 4 numbers, each of which can be 0 to 29. If there are no restrictions on the…

A: Answer:----.              Date:----6/10/2021 TOPIC:Combinatorics. Here, no restrictions on the…

Q: A combination lock uses 4 numbers, each of which can be 0 to 26. If there are no restrictions on the…

A:

Q: How many 4-digit numbers can be formed with the digits: 1,1,2,2, without allowing the repetition of…

A: Given digits is1,1,2,2

Q: A virus spreads through a network of computers such that each minute,25% more computers are…

A: This can be found by exponential growth : y=a(1+r)x a= initial value = 1 computer r=25%=0.25 x=1…

Q: Suppose that 4 Pistons need to be installed in a new engine block. there is a production run of 100…

A: Given, there is a production run of 100 Pistonsand 4 Pistons need to be installed in a new engine…

Q: A small combination lock on a suitcase has 4 wheels, each labeled with the 10 digits 0 to 9 How many…

A: It is given that, a small combination lock on a suitcase has 4 wheels, each labeled with the 10…

Q: How many four-digit numbers can be formed from the digits 1, 3, 5, 7, 8, and 9 (a) if each digit…

A: We have to find total number of four-digit numbers :

Q: How many​ 10-digit telephone numbers​ (area code+​number) are possible if the first digit cannot be​…

A:

Q: The access code for a warehouses security system consists of six digits. The first digit cannot be 0…

A: It is given that the number of digits for access code for a warehouses security system is 6.  The…

Q: A combination lock uses 4 numbers, each of which can be 0 to 29. If there are no restríctions on the…

A:

Q: How many seven digit telephone numbers are possible if the first two digits cannot be twos or zeros?

A:

Q: How many license plates can be made using two letters followed by four digits (0-9), allowing…

A: From this given information, license plates can be made using two letters followed by four digits…

Q: Suppose that you have a combination lock that uses letters instead of numbers for its combination,…

A: Solution: The total number of letters is 26 and the lock will be opened with four letters and…

Q: A combination lock uses 3 numbers, each of which can be 0 to 33. If there are no restrictions on the…

A:

Q: A combination lock uses 4 numbers, each of which can be 0 to 24. If there are no restrictions on the…

A: Given information- We have given that a combination lock uses 4 numbers, each of which can be 0 to…

Q: A small combination lock on a suitcase has 3​wheels, each labeled with the 10 digits 0 to 9. How…

A:

Q: A committee has 10 members and 4 members must be chosen for a subcommittee. Three of the 10 members…

A: Statisticians/mathematicians use different counting techniques while selecting or arranging members…

Q: How many 5 digit numbers can be formed if each one uses all the digits 0,1,2,3,4 without repetition?

A: We have 5 digits 0,1,2,3,4

Q: A briefcase lock opens with the correct 4 digit code. If the digits can be any number from 1-9 with…

A: Given: Digit is from 1 to 9   Unit must be = 3,6,9 that mean 1 of these 3 Other 3 are from 1-8 ,…

Q: A number with 4 digits is formed from the digits 0, 3, 6, 7, 9 without repetition. How many numbers…

A: Total numbers = 5 Since the 6 and 7 are placed next to each other consider them as a single number.…

Q: In a large math conference with 2022 participants, each person shakes hands with some number of…

A: For 'n' number of participants the maximum number of handshakes is n(n-1)/2.

Q: Find the number of ways that 6 teachers can be assigned to 4 sections of an introductory psychology…

A: It is given that, 6 teachers can be assigned to 4 sections. We have to find the no. of ways that 6…

Q: How many 4-digit numbers can be formed from 1,2,3,4 and 5 if no digit is repeated?

A: Given digits 1,2,3,4,5 Repeatation not allowed

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 computer password is to consist of three lower case letters followed by two digits. Determine how…

A:

Q: 10 identical copies of a movie will be stored on 40 computers such that each computer has at most 1…

A: Given the statement. 10 identical copies of a movie will be stored on 40 computers such that each…

Q: A phone number consists of ten numbers.  If the first digit cannot be 0, how many possible numbers…

A: Let m choices to be made with n1 options for the 1st choice, n2 options for the 2nd choice, … , nm…

Q: How many different codes are​ available?

A: It is given that the code consists of four digits. The first digit cannot be zero and the last digit…

Q: A committee of 5 students are to be chosen from 25 CS majors and 15 Math majors. How many of these…

A: Exactly 3 CS major students can be selected from 25 CS major students in, 25C3 ways, i.e. 2300 ways.…

Q: Assume that five men and five women are to sit in a row of ten chairs how many ways can these people…

A: Five men and five women are sitting in a row of ten chairs.

Q: The digits 1,2,3,4 and 5 are to used to form a five-digit number. How many different numbers can be…

A: Given data: Digits  to use = 1,2,3,4 and 5 to form five digit number  To find: The number must be…

Q: How many license plates are possible if they consist of 1 digit followed by 1 letter followed by 5…

A:

Q: How many 4-digit numbers are there that are divisible by 10 and the sum of whose digits is 10?

A:

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: Your company wants to assign identification numbers to each of its employees.  The identification…

A: We are given an identification number consists of 5 numbers followed by 3 letters. And also…

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 teacher will randomly award three students with extra credit. How many possible ways can the…

A: Given that  , a teacher will randomly award three students with extra credit .  Teacher can pick…

Q: How many even three digits numbers can be formed from the digits 3,2,5,6 and 9if each digit can be…

A: We have to make three digit even number which means that last digit should be even number. Here,…

Q: A combination lock uses 4 numbers, each of which can be 0 to 27. If there are no restrictions on the…

A: