200 identical toys are to be sent to 5 families (A, B, C, D, E). If each family must get at least 3 toys and the family “A” cannot have more than 30 toys, how many different ways are there to distribute the toys? (Hints: Do not use the multinomial theorem and start with subtracting 3 from the number of candies from each of the family.)
200 identical toys are to be sent to 5 families (A, B, C, D, E). If...
5. (3 points) You have 16 pieces of candy to distribute to 7 people (all persons are distinguishable from one another). How many ways are there to distribute the candy if -each piece of candy is different? -each piece of candy is identical? -each piece of candy is identical and four people get at least one piece of candy each, while the three remaining people get none 5. (3 points) You have 16 pieces of candy to distribute to 7...
Ex 1 We have 8 people in the family. (a) We got 3 different gifts from Santa under the Christmas tree (yes, somebody did not behave well this year :0. We do not know who these gifts are for. In how many ways can we distribute the gifts? (cach person may get more than one gift) (a) We got 3 different gifts from Santa under the Christmas tro. We do not know who thesc gifts are for. In how many...
discrete mathematics a. 25 identical glass orbs are to be partitioned into 5 groups. How many ways are there to do this? b. The orbs are to be partitioned such that each group gets at least one orb. How many ways are there to this? 6 of the orbs are given to the 1 group. How many ways are there to partition the remaining orbs such that the first group has at least the 6 from the beginning of this...
discrete mathematics a. 25 identical glass orbs are to be partitioned into 5 groups. How many ways are there to do this? b. The orbs are to be partitioned such that each group gets at least one orb. How many ways are there to this? 6 of the orbs are given to the 1 group. How many ways are there to partition the remaining orbs such that the first group has at least the 6 from the beginning of this...
3. A family of 8 goes to a restaurant. The menu has 11 entrees. Answer the following questions. (Explain your answers.) (a) (3 points) How many ways can everyone order an entree so that all entrees are different? (b) (3 points) How many ways can everyone order an entree if at least one person orders the most expensive entree and at least one person orders the least expensive entree? (c) (3 points) How many ways can everyone order an entree...
can someone please explain this to me ? 5 ofilers salads with 2 types of lettuce, 5 different toppings and 5 diflerent dressings 22. In how many ways can we select 6 students froem a group of 20 students to stard in line for a picture? 23. Given a committee of 8 women and 11 men, how many dif fferent ways are there to pick a female treasurer, and a secretary of either gender? Assume that none can hold more...
1) A: List all possible outcomes (the sample space) for the tree diagram below B: Calculate the number of all possible outcomes: bb 2) Based on the tree diagram below, how many ways can a coin be tossed four times and get exactly 3 tails? Hнн HHT HHHH HHHT HHTH H HTT HTHH HTHT HTTH HTTT THH T THT TTHS THHH THHT THTH THTT TTHH ΤΤΗΤ ΤΤΤΗ ΤΤΤΤ ΤΤΤ 3) How many 12-letter "words" (real or made-up) can be made...
MATLAB GOD! come and help me Toy Company makes a variety of inexpensive toys for children all over the world. One of their most successful toy lines is Fly-Like-an-Eagle Kites. While each model of kite comes with the same basic contents, different models come with different length crossbeams and surfaces to accommodate different kite types. Each kite surface is cut from a sheet of plastic as shown in the example image: Your program should start by prompting the user for...
18. (5 points.) Note: For part (c), you will need to knou about the Catalan numbers. See the write-up on the "Content" page of DeL, or see Johnsonbaugh's tezt (in the 7th edition, pages 285-286, starting with Erample 6.2.22; in the 8th edtion, pages 275-276, starting with Erample 6.2.21). For your upcoming internship, you are in charge of bringing pastries to the daily meeting of the four executives of a company. (They are the President and the three Vice-Presidents in...
PartB (COMBINATORICS) -LEAVE ALL ANSWERA IN TERMS OF C(n,r) or factorials, Q4(a)(i ) In how many ways can you arrange the letters in the word INQUISITIVE? in how many of the above arrangements, U immediately follows Q? Q4. (b)Su next semester. Your favorite professor, John Smith, is teaching 2 courses next semester and therefore ppose you are a math major who is behind in requirements and you must take 4 math courses you "must" take at least one of them....