1.3 4) How many different ID cards can be made if there are six digits on a card and no digit may be used more than once?

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: 1. A school issues each student an ID with a unique code consisting of two lowercase Tolowed by…

A: The id will consist of a unique code with 5 characters to be filled. First, we will have two letters…

Q: 20. An employee identification code for a hospital consists of 2 letters from the set {A, B, C, D}…

A: To  calculate the identification code if both letters and digits are repeated. The identification…

Q: 1)a) How many 3 digits passcodes are there if first digit must be a 1 or 2 ?   b) How many 3…

A: The possible number for passcode is as follows: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 a) if the first digit…

Q: 8. A pizzeria has 10 types of pizza. How many different ways are there to choose 15 pizzas with at…

A: When some objects are arranged, we use permutation. It also refers to the rearrangement of the…

Q: 7. How many ways can the letters of the word sardonyx be arranged?

A:

Q: Suppose an automobile license plate must use two capital letters (A-Z) followed by four digits…

A: A license plate must use two capital letters (A-Z) followed by four digits(0-9) No. of capital…

Q: 90 people, can there be at least 2 who have the same first digit of a cell number and the same last…

A: The number of people = 90  The phone number consists of 7 digits A phone number should not start…

Q: In how many ways can you arrange 5 distinct maths books, 4 distinct computing books and 3 distinct…

A: Given  5 distinct maths book, 4 distinct computing books and 3 distinct physics book

Q: 6. How many different 3-digit identification tags can be made if the digits can be used more than…

A: Note- Since both are different questions, so according to our policy we can answer only one…

Q: 1. How many ways can four letters in the word "SHARED" be arranged?

A: The objective of this question is to find out the number of ways four letters from the word 'SHARED'…

Q: if a single card is drawn from a standard 52-card deck in how many ways could it be a heart or a…

A: The number of cards in deck is 52.

Q: 10. A bank password consists of four letters of the Roman characters (small and capital letters)…

A: SOLUTION:

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

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

Q: 1. How many ways can four letters in the word "SHARED" be arranged?

A: The objective of this question is to find out the number of ways four letters from the word 'SHARED'…

Q: 18. A security company requires its employees to have a 7-character computer password that must…

A: We have 7 places which among 5 must be filled by letters and the remaining 2 must be filled by…

Q: Many college honor societies are named using three Greek letters. If there are 24 letters in the…

A: We have to arrange 3 Greek letters among the 24 letters. Here the order of the letters matter…

Q: Hey! I need help with a question which states the following: How many 7-digit ID numbers are…

A: This is a combinatorics problem. The answer is in step 2.

Q: How many six-digit numbers can be formed with the numbers 0, 0, 1, 1, 2 and 2? (Note that a…

A: Given, Numbers - 0,0,1,1,2,2

Q: 16. Apoker hand consists of 5 cards from a standard deck of 52 cards. Find the number of two of a…

A: There are total 13 denominations. {J,K,Q,A,2,3,4,5,6,7,8,9,10}.Each denomination has 4 cards.We can…

Q: How many 8-digit telephone numbers are possible if the first digit cannot be zero and no repetitions…

A:

Q: A secret code for a bank vault consists of 2 letters, then 4 digits and then 4 more letters. How…

A: A code contains 2 letters, 4 digits and then 4 more letters.

Q: 6) There are 26 letters in the English alphabet. How many ways can you arrange any three OR five…

A: Given,no.of letters =26

Q: 11. If there are 90 people, can there be at least 2 who have the same first digit of a cell number…

A: given , 90 people  we have to find can there be at least 2 people whose first and last digit of cell…

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 numbers less than 7000, with no repeated digits can be formed by use of the digits 0, 3,…

A:

Q: How many 4-digit pin codes can be made using the numbers 0 up to 9 if repetition is not allowed and…

A: Solution Total number of digits from 0 to 9 = 10

Q: 3. How many different license plates are possible if a state uses (a) Two letters followed by a…

A: (a).We have  (0,1,2,...,9) 10 digits , and 26  letters (A,B,C,.....,Z). Repetitions of digits and…

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

A: In English alphabet, there are 26 letter exists.

Q: а. Can one arrange with more than 4 Science books? b. Can one arrange with at least 2 Math books?…

A: Here use combination for given problems