The password of a phone has 4 digits to open. How many possible passwords are possible if all are numbers from 0 to 9 if REPETITION OF DIGITS IS NOT ALLOWED? Determine the total number of outcome

Q: A manager wants to award prizes for 1", 2nd and 3rd to his team members according to number of new…

A: We have given that the team is formed of 25 members and the prizes be awarded.    Permutation…

Q: 9. A math club has 50 members, 28 female and 22 male members. a) If a committee of 5 is to be…

A: Solution

Q: Suppose that a candy shop sells eight different kinds of candies: 50 cherry, 50 strawberry, 40…

A: This is a case of permutation.

Q: A fair coin is tossed 5 times and the sequence of heads and tails is observed. How many outcomes…

A:

Q: To win at LOTTO And a certain state, When must correctly select 6 numbers from a collection of 55…

A: By the formula of permutation and combination nCr= n!/(n-r)!r!

Q: 47: Suppose a poker hand is dealt to an engineer at a casino and the engineer would like to know…

A:

Q: (d) Given the word PERMISSION, in how many ways can all the letters be arranged if (i) Number of…

A: Solution

Q: From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at…

A:

Q: Ty's wardrobe consists of: • 10 unique shirts • 4 unique pants • 8 unique matched pairs of socks and…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: There are three dice rolled at the same time. b. How many possible outcomes are there if the desired…

A:

Q: Because of increased giving, a college scholarship program awarded two more scholarships this year…

A: Given, A college scholarship program awarded two more scholarships this year than last year. A total…

Q: 6 A committee of 6 officials is to be chosen from 8 men and 7 women. If the committee is to maintain…

A: Committee selections , using permutations and combinations

Q: A committee of 4 people is to be formed from a group of 5 men and 5 women. a. How many committees…

A: Given data 5 men and 5 women A committee of 4 people needs to be formed a) No of possible committees…

Q: 3. A student council consists of 8 students, with 3 women and 5 men. a. In how many ways can a…

A:

Q: (a) How many ways can a student choose eight out of ten questions to answer on an exam? (b) How many…

A: (a) total number of question=10 to find number of ways can a student choose eight out of ten  we…

Q: 7. A computer programming team has 13 members. a. How many ways can a group of seven be chosen to…

A:

Q: (A) How many ways can a 3-person subcommittee be selected from a committee of 9 people? (B) How many…

A:

Q: 9. A math club has 50 members, 28 female and 22 male members. a) If a committee of 5 is to be…

A: Solution According to guideline  we solve three subpart

Q: (c) Find the number of distinct sets of 5 cards that can be dealt from a deck of 52 cards. () Find…

A:

Q: 20 fifth graders compete in a spelling bee. If there is a gold medal, silver medal, and bronze medal…

A: We have  Medals = 3 Positions = 3

Q: Seven parking spots in a row are available for a display of new cars at a dealership. If an employee…

A:

Q: From a standard deck of 52 cards, a hand of 7 is dealt. How many hands are possible that have: a.…

A: Selection or election or collection - all these imply combination. Let us suppose there are three…

Q: A group of 13 workers decides to send a delegation of 3 to their supervisor to discuss their…

A:

Q: 5. Lisa invites 5 friends over to her house on very short notice so they may not all be able to come…

A: The combination is a technique to determine the number of probable arrangements from a set of…

Q: From a deck of 32 cards, we select 5 cards at random. The number of ways to obtain four cards with…

A: 16 cards of red color and 16 cards of black color in a deck of 32 cards . it means ,there is 2 red…

Q: A student may answer any six of ten questions on an examination. (a) In how many ways can six…

A: Given:  A student may answer any six of ten questions on an examination.To find:a)The number of ways…

Q: Determine the total number of outcomes of each d. How many ways can you answer the 5 item test of…

A: 1. To find the total number of ways can  answer the 5 item test of True or False.

Q: d. How many ways can five letters of the word EMULATOR be selected and written in a row if the…

A:

Q: Seven cards are marked with the numbers 1, 2, 3, 4, 5, 6, and 7, then shuffled, and two cards are…

A:

Q: A student wants to buy 3 CDs. Assume that they are interested in 6 CDs featuring the piano, 5 CDs…

A:

Q: A student has 10 books to arrange on a shelf of a bookcase. In how many ways can the 10 books be…

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

Q: A class has 13 ​students, of which 4 are seniors. How many committees of size 4 can be selected if…

A: Combination of n objects taken r at a time = n!(n-r)!r! where 0≤r≤n.

Q: A manager wants to award prizes for 1", 2nd and 3rd to his team members according to number of new…

A:

Q: A student wants to buy 3 CDs. Assume that they are interested in 3 CDs featuring the piano, 6 CDs…

A: In this context, the total number of CDs interest by a student is 14(=3+6+5).a.The number of…

Q: In how many ways can 5 students line up for a registration?

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

Q: A group of families that have 3 kids are in a group. What family that has three girls, given the…

A: Topic = Probability

Q: From a class containing 5 boys and 6 girls a group of 5 students is to be selected. There are how…

A: We have given that Number of boys = 5 Number of Girls = 6 We have to select 5  students

Q: (a) How many different collections of 50 coins can be chosen if there are at least 50 of each kind…

A:

Q: n how many different ways can we select a committee of a president, vice president , and a secretary…

A: Given,total no.of applicants=15

Q: cards are marked with the numbers 1, 2, 3, 4, 5, 6, and 7​, then​ shuffled, and two cards are drawn.…

A:

Q: a lock has a code of 3 numbers between 1 and 20. if no numbers in the code are allowed to repeat,…

A: Permutation and combination are used to calculate the number of possible ways to arrange or select a…

Q: If 4 marbles are picked randomly from a jar containing 8 red marbles and 7 blue marbles, in how many…

A: Given Red marbles = 8 Blue marbles = 7

Q: A class consists of 14 boys and 13 girls. They want to elect officers so that the president and…

A:

Q: a class consists of 37 freshmen, 54 sophomores, and 22 juniors. The class wantsto send a nine-person…

A: Given that the class consists of 37 freshmen, 54 sophomores, and 22 juniors.  So, the total number…

Q: committee of 5 students is to be selected from 14 students in a fraternity. In how many ways can…

A: Solution

Q: A bagel shop has a selection of 8 different kinds of bagels (at least 10 of cach). ( .1) How many…

A: Given, A bagel shop has a selection of 8 different kinds of bagels. At least 10 of each.

Q: If 4 marbles are picked randomly from a jar containing 8 red marbles and 7 blue marbles, in how many…

A:

Q: . a) How many ways can 6 people be lined up to get on a bus? o) If a certain 3 persons insist on…

A:

Q: 13 If 4 marbles are picked randomly from a jar containing 5 blue marbles and 6 yellow marbles, in…

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