How many ways can you distribute n (indistinguishable) marbles to k different adults so that each adult gets at least 3 marbles? Explain your answer.

Q: Your field experience instructor wants to line up 8 cars for transportation to a grade school.…

A: Calculate total number of groups of 8 cars in the following way:-

Q: 3. Suppose 1500 runners are in a race. How many ways could the runners finish in 1t, 2nd and 3rd…

A:

Q: a) 10 samples of different Publishers are on display at an Open Day.                   Visitors are…

A: Total available sample n= 10 Number of samples to be selected r = 4

Q: HOW MANY WAYS 4 PIZZA TOPPINGS BE SELECTED FROM A CHOICE OF 12 TOPPINGS CAN BE CHOSEN ONLY ONCE?

A:

Q: How many ways are there to distribute 7 different tasks to 7 different people if: i. No restrictions…

A: We have to find the number of ways.

Q: In the Olympics, there are 8 swimmers in the final race. How many ways can the gold, silver, and…

A: Given there are 8 swimmers, and 3 awards(gold,silver,bronze) Therefore number of ways gold, silver,…

Q: A manufacturer of electric bulbs sends out 500 lots each consisting of 100 bulbs. If 5% bulbs are…

A: It is given that a manufacturer of electric bulbs sends out 500 lots each consisting of 100 bulbs.…

Q: How many ways can a committee of four people be chosen from a group of eight people?

A: Given data, Total number of people = 8 People select for committee = 4

Q: How many ways can a cricket team of 4 bowlers and 7 batsmen be formed from a group of 8 bowlers and…

A: GIVEN DATA : There are 8 bowlers and 11 batsmen       TO FIND : Number of ways a cricket team formed…

Q: A particular antibiotic is introduced to a petri dish containing 1000 newly discovered flesh -…

A: Let N0  be initial and Nt after t hours Then Nt = N0 (1 - 1/3)t.               Nt = N0…

Q: How many ways can we select four door prizes from nine different ones and distribute them among four…

A: Given, Out of 8 different prizes, 4 has been selected.

Q: How many ways can 120 unique packages be loaded into 10 delivery trucks where each truck must have…

A: 120 distinct packages have to be distributed equally among the 10 trucks.

Q: How much can 9 games be distributed to four children so that the youngest child receives three games…

A: Here Given  Total No of games=n=9 No of Games Young child receive=3 No of Games Other Child…

Q: In an enormous car park with 10 levels there are 38 free spots. In how many different ways can the…

A: GivenNo.of free spots (n)=38no.of var park levels(r)=10

Q: how many ways can the prizes be awarded?

A: here given , A manager wants to award prizes for 1st, 2nd and 3rd to his team members according to…

Q: How many ways are there to distribute 27 identical jelly beans among three children: a) Without…

A: Given: N=27 total number of jellys r= 3

Q: How

A:

Q: How many ways can 4 officers be elected from 12 candidates?

A: From the provided information, There are 12 candidates from which 4 officers will be elected.

Q: How many ways are there to choose three different numbers each between one and a hundred so that…

A: There can be two possibilities only 1) All the three numbers are even. 2) One number is even and two…

Q: You want to examine N people to see if they have a certain disease. The obvious alternative is to…

A: You want to examine N people to see if they have a certain disease. Probability of an individual…

Q: How many different ways can 5 brands of soda be displayed on a supermarket's shelf, one at a time in…

A: Given Information: 5 brands of soda are to be displayed on a supermarket's shelf.  It is needed to…

Q: Ten tablets are available for analysis, but because of time restrictions the scientist will only be…

A: # no of tablets n=10 then  nonof ways for selection of 3  tablets without repetition??

Q: in how many ways can 6 marbles be distributed among 3 boxes7

A:

Q: 2. In a basketball league consisting of 10 teams, each team plays each of the other teams exactly…

A:

Q: A baseball team has 14 players. How many 9​-player batting orders are​ possible?

A: Given : A baseball team has 14 players.

Q: How many different bowls of ice cream can you make with 6 flavours and 5 scoops such that you have…

A: Given: Number of flavors=6 Number of scoops=5

Q: A computer company has 5 vaccines in its executive trainee program. The company must select the…

A: Given - A computer company has 5 vaccines in its executive trainee program. The company must select…

Q: How many different meals are possible from a menu if you choose one each of 5 appetizers, 4 entrées,…

A:

Q: How many combinations are possible? assume the Items are distinct. 5 items chosen 2 at a time

A: C(n,r) = n! /{r! (n-r)!}

Q: How many different teams of 4 members can be selected from a pool of 20 applicants?

A: The combination formula is given by

Q: how many ways are there to distribute 20 cookies to 4 students so that no student gest more than 6…

A: We see this problem in a different way, so that we can use Stars and Bars method. By Stars and Bars…

Q: How many combinations are there of 26 letters taken items taken 2 at a time ?

A: The number of combinations  = nCr n : number of options available r : number of options to be…

Q: How many ways are there to select 3 candidates from 8 equally qualified recent graduates for…

A: Given that, there are 8 equally qualified recent graduates for openings in an accounting firm. i.e,…

Q: How many ways can 120 identical packages be loaded into 10 delivery trucks where some trucks may…

A: To determine :  How many ways can 120 identical packages be loaded into 10 delivery trucks where…

Q: A cargo ship unloaded a shipment of 12 photocopy machines that contains 3 defective units. In how…

A:

Q: A store is required to reach an average weekly target of 800 sales of a certain brand of clothing.…

A: Given that  Average weekly target is x¯=800 On Monday=745 On Tuesday=796 On Wednesday=801 On…

Q: In the Electronic shop Illektrooneeq, TV set can be purchased in any of 4 different sizes, in any of…

A: Given Information: In the Electronic shop, TV set can be purchased in any of 4 different sizes, in…

Q: How many ways can 7 different contracts be distributed amongst 11 different​ firms, if any one firm…

A: According to the fundamental principle of counting, if one thing can be done in m ways and another…

Q: How many ways can 10 candles be arranged on a shelf?

A:

Q: 3) Each year, Sydney, Australia, on average, gets hit by given year that area will be hit by more…

A: Given , Australia on average gets hit by 4 tropical storms Let X represents the number of storms X…

Q: A blood bank needs 5 people to help with a blood drive. 10 people have volunteered. Find how many…

A: Given : A blood bank needs 5 people to help with a blood drive.  10 people have volunteered.   To…

Q: How many different bowls of ice cream can you make with 9 flavours and 8 scoops such that you every…

A: Given Information:  Number of flavours = 9  Number of scoops = 8

Q: How many ways are there to distribute 6 different books among 13 children if no child gets more than…

A: Given: 6 different  are to be distributed among 13 children so that no child gets more than 1 book

Q: How many ways are there to distribute 4 (identical) tomato plants and 5 (distinct) succulents, each…

A: Reviewing information, No. of tomato plants= 4 No. of succulents= 5

Q: A researcher wanted to test eight specific drugs and he had enough animals to test five drugs. How…

A: Given that a researcher wanted to test eight specific drugs and he had enough animals to test five…

Q: A machine puts out 16 imprefect articles in a sample of 500. After the machine is repaired, puts out…

A: If two samples are drawn from different populations, we may be interested in finding out whether the…

Q: A grocery store sells 10 different types of sodas sold in six-packs with at least 200 of each type…

A: We know that if we have to choose r items out of n items with repetition allowed, number of such…

Q: In how many ways can 6 marbles be distributed among 3 boxes?

A: According to the provided information, we need to distribute 6 marbles among 3 boxes.

Q: How many ways can my daughter put 50 pairs of shoes on 4 dolls?

A: Combination :  The number of ways to choose a sample of k elements from a set of n distinct objects…

Q: Three adults and five children are seated randomly in a row, then how many ways can this be done?

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.