A sales assistant is hanging 13 sweaters on a rack. He has 3 green sweaters, 4...
< > o III Counting rangements of objects that are not al Alessis hagin 13 sweaterson and. He has 3 gray sweaters 4 green sweaters, and white waters. In how many distinct orders as the Sweaters be arranged to waters of the same color are consideredentical (not distinct)? 5 2 N C
A panel for a political forum is made up of 13 people from three parties, all seated in a row. The panel consists of 1 Democrat, 5 Republicans, and 7 Green Party members. In how many distinct orders can they be seated if two people of the same party are considered identical (not distinct)?
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...
Andrew has a box which contains 4 pink blocks, 5 yellow blocks and 6 green blocks. He picks one block, records its color and puts it back in the box. He then draws another block. What is the probability of taking out a yellow block followed by the pink block?
4. In a 52 card deck there are 13 cards (2, 3, 4,5 6, 7, 8, 9,10,J Q, K A) in each of four suits (4, ◇〇4) (a) In how many different ways can you pick four cards with different suits? (b) In how many different ways can you pick four cards of the same suit? (c) In how many different ways can you pick four cards so that you have exactly three suits in your hand? (d) In how...
Alice has 2 blue crayons, 4 pink crayons, 2 green crayons, and 5 red crayons. She wants to place all of the crayons in a line on the table. How many different ways can she arrange the crayons?
6. (The truck contains 6 blue balloons, 6 red balloons and 8 green balloons. Do not simplify your answers. Leave in Combinatorics format. In how many ways can 6 balloons escape from the truck so that: At least 4 red balloons escape? at most two blue balloons escape? no green balloons escape? the balloons that escape are all the same color?
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...
1. Henry has 28 plastic magnetic letters. He has 3 identical letters A, and exactly one of each of the letters B through Z. i. How many sequences of length 6 can Henry form if no letter repeats? For example, BITINA is now allowed because the letter I is used twice. ii. How many sequences of length 6 can Henry form if the letter A is used exactly two times? For example, ADANSK uses the letter A twice. iii. How...