4. Credit cards and debit cards often require a PIN number consisting of 4 digits. Wanda wants to create a PIN number that starts with 0, 5, 1 or 3. If repetitions are allowed, how many ways can this be done?

Q: 1.A contractor wishes to build 9 houses, each different in design. In how many ways can he place…

A: A permutation is a mathematical technique that determines the number of possible arrangements in a…

Q: 6. A University building has 9 doors. In how many ways can a student enter and leave by different…

A: Total no of doors in university = 9 We have to find the no. If ways a student can enter and leave by…

Q: In certain state, license plates each consist of 3 letters followed by 3 numbers. (a) How many…

A: Since you have asked multiple subparts, we will solve the first three subpart questions for you. If…

Q: 1.) How many ways may 4 cards be drawn randomly from a deck of 52 cards? 2.) How many ways may 5…

A: Solution-: We find, (1) How many ways may 4 cards be drawn randomly from a deck of 52 cards? (2) How…

Q: 3. Ten national leaders are to be seated at a round table at a summit. If the presidents of the US…

A:

Q: 4. How many five-letter codes can be formed from the letters of the English alphabet if repetitions…

A: Solution: Number of English alphabet  letters = n= 26

Q: If you toss 10 fair coins,in how many ways can you obtain at least one head?

A: Given: 10 fair coins are tossed. We want to calculate the number of ways in which we can obtain at…

Q: 4) A newly formed company of 24 partners wants to select a President, Vice-President and Secretary.…

A: This Problem can be solved by permutation and combination. Permutation is number of possible…

Q: Given the digits 1, 2, 3, 4, and 5, How many different three-digit numbers can be made if…

A:

Q: The chess club has six members. ​(a) In how many ways can all 6 members line up for a​ picture? ​(b)…

A:

Q: ) How many 5 letter code words can be made with the first 7 letters in the alphabet (i) if no letter…

A:

Q: If three alphabets are to be chosen from A, B, C, D and E such that repetition is not allowed then…

A: In question, Given that A, B, C, D and E are 5 alphabets then three alphabet are chosen from them…

Q: (a) How many ways are there to place 10 paintings into 8 boxes, given there should be at least one…

A: a. The total number of ways of dividing 10 paintings into 8 boxes so at least one painting in each…

Q: 1. How many different license plates are possible using 3 letters followed by 3 digits? digits and…

A:

Q: In one state, each automobile license plate shows three letters followed by two digits, or two…

A: The number of letters in alphabet is 26. The number of digits from 0 to 9 is 10.

Q: 3. In how many different ways can the letters of the word 'COMPUTER’ be arranged?

A: Solution (1)

Q: 2. In how many different ways can they arrange to give everybody a chance to experience the ride?

A: Number of people=7, number of bike available=4. To find the number of ways of arrangements so that…

Q: 1. If Peter Piper picks 4 baskets of peppers on day one, 7 baskets on day two, and each day…

A: 1. Given peter Piper picks 4 baskets on day 1, 7 on day 2 and 3 more than the previous day…

Q: 2. At SSC, a four-person committee is chosen from 15 teachers and a dean. In how many ways can the…

A: Note: As per bartleby guidelines for more than one questions asked, only one question with three…

Q: 4. Your school is hosting a Mathletes competition in which senior and junior teams will be entering.…

A: Selection of x items from n objects can be represented by combination  Cxn and arrangement of same…

Q: 19.In how many ways can 4 girls and 3 boys be arranged around a camp fire if the 4 girls must be…

A:

Q: 4. In how many ways can eight beads be arranged in a bracelet?

A: We have to find number of ways...

Q: License plates are made using 3 letters followed by 3 digits. How many plates can be made if…

A:

Q: (a) In how many ways could you arrange eight books on a shelf? (b) Would it be feasible to list the…

A: We have to find corrcet answer...

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: Consider the letters a, b, c, d, & e .  In how many different ways can three letters be selected and…

A: Consider the letters a, b, c, d, & e Total 5 letter  ways to select three letter will be 5C3 =…

Q: 3. While they were researching marmosets, a particularly convoluted walk through Wikipedia caused…

A: Total number of letters=28 , which includes  A N T I D S E B L H M R 4 3 3 5 1 4 2 1 1 1 2 1…

Q: In how many ways can 7 women and 7 men partner up for ballroom dancing, if each person has to dance…

A: The number of ways to select r objects from n objects is computed by using the formula of…

Q: If repetitions are not permitted, from the 6 digits 0, 2, 3, 4, 5, and 8, how many 4- digit number…

A:

Q: 23. How many ways may 5 students be elected from a club with 45 members? 24.How many two-digit…

A: 23) Total number of members = 45 Number of members to be selected = 5 Number of ways the selection…

Q: 1. The IE Falcons plays 14 games during the COE Basketball Tournament. In how many ways can the team…

A: Note- As per our policy we can answer only 1st question. If you want solutions for other, then you…

Q: Each employee at a large company is to be issued a computer ID code that consists of three letters…

A: From the given information, Total number places in the employee ID that needs to filled up =6 Total…

Q: 10. If there are 15 people and only 2 chairs are available, in how many ways can they be seated?

A: Explanation: Given that,  Number of people=15 Available chairs=2     Formula Used: Crn=n!r!·(n-r)!

Q: 1. There are 12 athletes joining the Baguio Marathon Event, how many ways can the first, second, and…

A: Note: As per the guidelines, we are only allowed to solve 1 question at a time, please post the…

Q: How many ways are there to arrange the letters in the word SIERPINSKI? How many arrangements begin…

A:

Q: 3. How many different 5-digit identification tags can be made a.if the digits can be used more than…

A: Given: Number of digits in an identification code = 5 Total number of digits = 0 to  9 = 10

Q: 7. How many ways are there that in a class of 60 students, 2 students will not have the same birth…

A: Here Given 60 Students  Now Assume that there is 365 Days in one year

Q: 2. How many 4 letter arrangements can be made from the letters MILKE D?

A: Explained below

Q: 1. There is a deck of 52 cards. How many ways are there to distribute 13 cards to each of 4 players?

A:

Q: A license plate consists of two letters and three digits. How many different plates can be made if…

A: no.of digits (0 to 9)=10no.of letters (A to Z)=26

Q: A cookie jar contains 10 cookies - 4 are chocolate chip, 3 are almond, 2 are oatmeal and 1 is a high…

A: Answer -  Total cookies = 10  Chocolate chips = 4 almond = 3 oatmeal = 2  high fibre cookie = 1

Q: In how many ways can a PICE chapter with 30 directors choose a president, a vice president, a…

A:

Q: 2. In how many ways can three singers and four dancers be chosen to make a team if there are seven…

A: We have to find in how many ways three singers and fours dancers be chosen to make a team if there…

Q: 11 Given the digits 6, 7, 8, 9, a. How many four number digits can be formed if there's no…

A: Given digits are  6, 7, 8, 9 each parts are solved below.

Q: (a) In how many ways could you arrange NINE books on a shelf? (b) Would it be feasible to list the…

A: The permutation is the mathematical techniques, which is used to determine the number of possible…

Q: 4. Ms. Green must choose three students from her chess club to speak on the Rebel Report. If the…

A: Given that  Total member=8 She choose member=3

Q: How many ways can 10 people line up if Joey and Sally cannot be next to each other? If the same…

A: here we have to use permutation ( arrangement )  Number of way r object can be arranged by taking…

Q: 3. A contractor wishes to build 9 houses, each different in design. In how many ways can he place…

A: From the given information, Total number of hoses to be build (n) =9 One side has 6 lots and other…

Q: If there are 10 people and only 6 chairs are available, in how many ways can they be seated?

A: