In how many ways can 15 red marbles and 17 blue marbles be distributed to 6...
There are red, blue, white and green marbles. How many different ways are there to fill a bag with 10 marbles if there is the constraint that there are either white or green marbles in the bag but never both. So there can be white marbles in it or there can be green marbles in it or neither or them but never both.
1. How many decorations are there using 12 blue balloons, 9 green lanterns and 6 red ribbons in a row, such that no two ribbons are next to each other? 2. In how many ways can one distribute seven different gifts among 10 children if no child is to receive more than one gift?
A jar contains 4 red marbles, 12 blue marbles and 6 green marbles. Three marbles are selected at random, with each marble being set aside after selection. What is the probability that at least 1 red marble is drawn? a. 0.470 b. 0.338 c. 0.632 d. 0.530 e. 0.701 *DO NOT USE EXCEL*
An urn contains 39 red, 17 white and 30 blue marbles. A child selects two marbles at random and without replacement from the urn. Find the probability that the colors of the selected marbles are different. Hint: Three cases occur in the selection: no red, no white, no blue.
5) (a) In how many ways can we distribute 10 different chocolates to 4 children so that every child gets at least one chocolate? (b) In how many ways can we distribute 5 different chocolates to 9 children so that every child gets at most one chocolate? 5) (a) In how many ways can we distribute 10 different chocolates to 4 children so that every child gets at least one chocolate? (b) In how many ways can we distribute 5...
There are 15 red balls and 10 blue balls. 1) How many ways are there to choose one ball to be placed on a chair and one ball to be placed on a desk? (My original answer was 600) 2) How many ways are there to choose one ball to be placed on a chair and one ball to be placed on a desk if both balls cannot be the same color? (My original answer was 150) 3) How many...
Kelly has different books to arrange on a shelf; 2 blue, 4 green, and 3 red. Answer parts a through e below. (a) In how many ways can the books be arranged on a shelf? way(s) (Type a whole number.) (b) If books of the same color are to be grouped together, how many arrangements are possible? way(s) (Type a whole number.) (c) In how many distinguishable ways can the books be arranged if books of the same color are...
3. There are 2n + I identical books. How many ways are there to place these books onto three shelves so that there are always more books on any pair of shelves than on the other shelf.
Please answer the following question: a) In how many ways can a committee of 3 people be selected from a group of 10 people? b) In how many ways (different arrangements) can 8 books be placed on a shelf? c) On an ice cream menu, there are 5 choices of ice cream flavors, 4 choices of toppings and 2 choices of syrups. In how many different ways can the ice cream be ordered, if each order must include one ice...
6 different books are to be distributed among the 10 students in a class. A student can receive multiple books; for example, it's possible that one student receives all 6 of them. How many ways are there to distribute the books: (a) How many ways are there to distribute the books? (b) ... if Alice gets at least one book? (c) ... if only Alice, Bob, and Chloe receive books? (d) ... if only Alice, Bob, and Chloe receive books...