In this we have to use basic formulas of permutation and combinations. look at the repeated elements and divide with permutation of these also as given in images.
PLEASE DO BOTH (1) (5 pts) How many ways can you permute the letters in BANANA?...
At a Chinese restaurant, dinner for 8 people consists of 3 items from column A, 4 items from column B and 3 items from column C. If columns A, B and C have 5, 7 and 6 items respectively how many different dinner combinations are possible?
please provide the answers clearly 4. How many distinct permutations are there of the letters in the word (a) great? (b) State which theorem from the text is applicable to solving part (a) (c) greet? (d) probability? e) State which theorem from the text is applicable to solving part (d). (f) probability that begin and end with the letter b? 5. A college football team plays 10 games during the season. In how many ways can it end the season...
1.The Greek alphabet has 24 letters, in how many ways can 3 different Greek letters be selected if order DOES matter? 2.The Greek alphabet has 24 letters, in how many ways can 3 different Greek letters be selected if order does NOT matter?
Counting with Combinations How many ways can you arrange the letters in the word "PASTURE" into groups of four letters without repetition? Provide your answer below.
(a) In how many ways can 7 people be lined up to get on a bus? (b) If 5 specific persons, among 7, insist on following each other, how many ways are possible? (c) If 2 specific persons, among 7, refuse to follow each other, how many ways are possible? (a) The 7 different people can be lined up in 5040 different ways. (b) The people can be lined up in different ways. (c) The people can be lined up...
Problem 2 a) In how many ways can 6 women and 5 men line up so that no two men are next to one another? b) In how many ways can 7 different pairs of twins line up so that twins must be next to one another? c) In how many ways can 7 women and 10 men sit at a circular table so that no two women are sitting side by side? d) How many strings of length 5...
1- If four alphabets are to be chosen from L, M, N, O, P, Q such that repetition is not allowed then in how many ways it can be done? 2- Sally must choose a 5-digit PIN. Each digit can be chosen from 0 to 9 and the same digit can be used repeatedly. How many possible PIN numbers can be created? 3- Jenny has 8 tops, 5 bottoms, 2 belts, and 2 bracelets. Assuming that everything matches, how many...
For the word CHARITY, a) How many ways can we arrange all letters? b) How many ways can we select three letters? c) How many ways can we arrange three letters? d) How many ways can we arrange all the letters such that it begins with ‘CHA’?
(a) (10 pts) In how many ways can a committee of 3 people be selected from 8 people? (b) (10 pts) In how many ways can a committee of 3 people be selected from 8 people, with one president, one vice president and one treasurer?
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...