Question

What is the main difference between a situation in which the use of the permutations rule is appropriate and one in which the use of the combinations rule is appropriate? Both permutations and combinations count the number of groups of r out of n items. Combinations count the number of different arrangements of rout of n items, while permutations count the number of groups of r out of n items. Permutations count the number of different arrangements of r out of n items, while combinations count the number of groups of rout of n items. Both permutations and combinations count the number of different arrangements of r out of n items. + -/2 points BBBasicStat8 5.3.002. My Notes Consider a series of events. (a) How does a tree diagram help you list all the possible outcomes of a series of events? All possible outcomes are shown at the beginning of each branch. All possible outcomes are shown along the top branch. All possible outcomes are shown as distinct paths from the beginning of the diagram to the end of each last branch. All possible outcomes are shown as distinct paths along every individual branch. (b) How can you use a tree diagram to determine the total number of outcomes of a series of events? It is not possible to count the total number of outcomes using a tree diagram. Counting the number of beginning branches gives the total number of outcomes. Counting the number of final branches gives the total number of outcomes. Counting the number of outcomes on the first main branch and then multiplying by 2. (a) Draw a tree diagram to display all the possible head-tail sequences that can occur when you flip a coin three times. updates now or try tonight? 10 11 12 13 14 15 16 17 18 19 20 21 8 9 10 11 12 13 14 15 16 17 18 7 8 9 10 11 12 13

Answer 1

Permutations count the number of different arrangements of r out of n items, while combinations count the number of groups of r out of n items

(a) All possible outcomes are shown as distinct paths from the beginning of the diagram to the end of each last branch

(b) Counting the number of final branches gives the total number of outcomes

(a) The tree diagram which displays all the possible head tail sequences for flip of a coin three times

TO DAY 069-296 H TTailS H T THT

(b) Three sequences contains exactly two heads (HHT, HTH, THH)

(c) Probability that you get exactly two heads when you toss a coin three times

= Number of cases where exactly two heads occur/Total number of cases

= 3/8 = 0.375

Number of different ways in which the nursing positions can be filled by these applicants = 15*14*13 = 2730

True. A researcher recording how much time each participant needs to solve a series of problems is an example of a continuous variable.