). QUESTION:Count the number of distinct ways of putting 3 balls into 4 boxes when:MB all boxes and balls are distinguishable;ВЕthe boxes are different but the balls are indentical;FDthe balls are identical, the boxes are different but hold at most a single ball.See if you can do the counting when there are m balls and n boxes.

Permutation is a technique in which we determine the possible number of arrangements in a set in…

Answered: Count the number of distinct ways of…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Evaluate o= Vnp(1-p) for n= 1593, p= 7.
In a class of 6 girls and 5 boys, how many seating arrangements can be done? (numbers only)
Casey is looking to rent a two-bedroom apartment in one of two towns, Gardiner or Augusta. He randomly selects 100 two-bedroom apartments from both towns and records the area of each apartment. Both towns have a two-bedroom apartment that has an area of 645 square feet. Gardiner: 673, 652, 729, 707, 773, 746, 728, 690, 762, 770, 722, 735, 693, 708, 700, 652, 680, 696, 762, 655, 656, 716, 675, 681, 690, 708, 726, 725, 705, 657, 640, 752, 715, 697, 680, 682, 694, 699, 634, 717, 673, 733, 708, 657, 645, 727, 773, 696, 740, 768, 641, 752, 779, 654, 715, 733, 684, 770, 617, 704, 711, 684, 720, 649, 744, 652, 650, 653, 725, 634, 684, 720, 667, 708, 670, 713, 673, 655, 688, 669, 766, 697, 730, 698, 681, 720, 773, 665, 768, 657, 720, 725, 738, 670, 735, 725, 725, 744, 655, 767 Augusta: 693, 673, 635, 663, 680, 640, 686, 684, 661, 712, 726, 649, 665, 694, 692, 674, 673, 685, 702, 692, 626, 671, 663, 732, 684, 688, 724, 692, 708, 646, 640, 659, 685, 698, 685, 688, 690, 679, 669, 684, 693, 737,…
Find the number of different ways that an instructor can choose 4 students from a class of 31
Ben has some apples. 9 are red apples. 7 are yellow apples. He gives all the yellow apples to Andy. He eats 1 red apple. How many apples does he have left?
Three hungry pirates, Ahab, Bluebeard, and Hook, were stranded on a desert island. They came upon a treasure chest, which they immediately opened. To their joy, they found it to be full of pretzels! Immediately they each ate 10, then they decided they should save the rest for later. That night, after the others had fallen asleep, Ahab crept to the treasure chest and opened it. He separated the pretzels into 3 equal piles. There was 1 extra pretzel, which he gave to a passing monkey. Then he stole one of the 3 equal piles of pretzels, put the rest back into the chest, and went back to camp. A short time later Bluebeard sneaked over to the chest. He separated the pretzels into four equal piles (he wasn’t quite as greedy as Ahab). There were 2 extra pretzels, which he gave to a passing monkey. He then stole one of the four piles and put the rest back into the chest. Still later Hook went to the chest and separated the pretzels into five equal piles. There were 3 left over, which he gave…
This morning you collected 42 eggs from the hens in your chicken coop. Your 6 favorite neighbors are always glad to get fresh eggs from your chickens. How many different ways can you distribute the 42 eggs to your 6 favorite neighbors so that every neighbor gets at least 1 egg, but no neighbor gets more than 12 eggs? Your Answer:
Eight students entered the testing room that had 20 chairs evenly arranged on each side. If two of the eight students insist on sitting on the right side, how many seating arrangements are possible?
A girl has 64/34 apples and another boy has 64/38. Which one has more apples
A pool party is occurring at the Robertson's house this next holiday. They want to invite 64 friends and family. Only 26 friends and 9 family members reply to the invite. The Robertson's are a family of 5 . Their pool is 35 feet long and is 10 feet deep when filled to capacity. They are worried children under 5 will struggle in the pool, so they only fill the pool to 5 feet. The day of the party, 53 people show up. The son, Billy, is 4.5 feet tall. If Billy's height is half the width of the pool, what is the volume of water (in cubic feet) the Robertson's filled the pool with?
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