A basket contains 4 bananas, 5 mangoes and 3 avocados. How many ways can 3 bananas, 2 mangoes and 1 avocado can be chosen? O 6 О 12 О 120 924 What is the combination of 10 objects taken 5 at a time? 252 О 312 O 404 O 516 Calculate C( 1O, 7) - P(5, 3) O 20 О 35 О 60 O 72

Q: Q1) a) How many 3 digits passcodes are there if first digit must be a 1 or 2 ?   b) How many 3…

A: a). There are 10 digits (0,1,2,3,...,9)  in total. If the first digit is filled with 1 or 2, then…

Q: 3. Ben has 10 different books. He decided to give 4 to Anne, 4 to Katie and 2 to Lisa. In how many…

A: we will find the combination here.

Q: 3- From a group of 5 women and 7 men, how many đifferent coMmittees consisting of 2 Women and 3 men…

A: Given: n(women) = 5 n(men) = 7 n(women chosen) = 2 n(men chosen) = 3

Q: Tim has 85% as many candies as Joshua. Joshua has 80% as many candies as Luke. If Luke gives 275…

A:

Q: included in every selection? 7. How many permutations can be made from the letters in the words a)…

A:

Q: A = {c, e, g, j, k, m} B = {a, c, d, h, i} AUB={ An B={ (An B) = { ke Select an answer ✓ {c, d, h} C…

A: Explanation of the answer is as follows

Q: is) In your drawer, you have 7 pairs of different socks, all mixed together. In total dark- ness,…

A: Given that, A drawer is having 7 pairs of different socks. That means overall 14 socks are present.

Q: amount of baggage. You have 15 outfits picked out, but there is only space for 10 in your baggage…

A: The solution is:

Q: olve the foolowing problems involving permutations and combinations. SHOW YOUR SOLUTION. 1.) In…

A: For the given data Find 1.) In how many ways can a president, vice president, secretary and…

Q: От O F

A: Here given, There are 3 capital letters and 3 Small letters . Here we will use counting.

Q: A  box contains 8 ten-peso coins and 5 five-peso coins. In how many ways can 3 coins be drawn in…

A: a) The formula for combination is nCr= n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…

Q: Evaluate P( 16, 3 ) O 4116 O 3360 O 48 O 13 A special plate number is made up of 2 letters of the…

A: As per our guidelines we are suppose to answer only one question. We know that P(n,r)=n!n-r!

Q: 8. Nine people are going on a skiing trip in 3 cars that will hold 2, 3, and 4 passengers,…

A:

Q: Colombian license plates are made of 6 places. The rest 3 are letters, and the last 3 are numbers…

A: a) To calculate the number of possible license plates when you can repeat letters and numbers, you…

Q: 9. There is a file of 30 soft drink cans in the first bottom row, 29 on the second row, and so on.…

A: Formula:  Sum of first n natural numbers is  1+2+3+....+n= n(n+1)/2. Here total number of cans is  =…

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: 8. Suppose Jack has 1 red ball, 1 orange ball, 1 blue ball, 1 yellow ball, 1 black ball and 1 green…

A: Given that  Jack has  Red ball = 1 Orange ball = 1 Blue ball  = 1 yellow ball = 1 black ball = 1…

Q: sa3. You are asked to choose best 6 out of 10 songs. In how many ways can you choose the top 6…

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: assume that 340 tickets are sold such that 220 are sold to individuals (i.e., parties of one) and…

A: In this scenario, we are tasked with determining the expected number of passengers who will show up…

Q: In how many ways can the letters of the word 'MARRY' be arranged? إختر أحد الخبارات a O 120 * .b O…

A: Consider the given word  'MARRY'

Q: Five balls needs to be placed in three boxes. Each box can hold all the five balls. In how many ways…

A: 5 balls and three boxes No. Of ways to placed the balls =?  By which no box remain empty * all balls…

Q: Үшбұрыштың төбелері берілген: А (2; 4), В (0; 3) және С (6; 8). В тебесінен түсipілген медиананың…

A:

Q: 8. Before 2020, the number plates on Queensland's vehicles have the format of three digits followed…

A:

Q: An Uber XL can hold between 1 and 4 people. One September evening, 5 distinct and random people need…

A: According to the given information, An uber XL can hold between 1 and 4 people. On September evening…

Q: In one state the license plate “numbers” consist of three numerical digits followed by two upper…

A: Consider a problem in which there are n vacant inline spots, each of the spots are to be filled by…

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: 8.How many 2 digit even number can be formed from the digit 1,2,3,4,5 if the digits can't be…

A:

Q: How many ways can a baseball line up of 9 players be arrange to hit if the pitcher must bat last,…

A: We have 4 contact hitters and 2 power hitters and 1 pitcher and 2 other players. Who must be…

Q: 5) How many different passwords are possible? If a cell phone's password consists of eight…

A: Given: Considering 0 to 9, there are 4 even numbers and 4 odd numbers. In alphabets there are total…

Q: 7. How many numbers less than 7000, with no repeated digits can be formed by use of the digits 0, 3,…

A:

Q: A Company has 800 employees who bank with the Bank of Berba and First Public Bank. 312 bank with the…

A: Let A represents the number of employees bank with Bank of Berba and B represents the number of…

Q: 5. A combination lock has 50 numbers on it. To open it, you turm it counterclockwise to the 1…

A: Given: combination lock has 50 numbers n=50 we want to find how many possible combination are…