How many ways are there to select 6 cookies from 20 varieties:
a. if no two cookies have the same variety?
b. if all cookies are of the same variety?
c. half of the cookies are from one variety and the other half are from another variety?
d. if 3 cookies are from one variety, 2 cookies from another variety, and 1 cookie from another variety?
Discrete Mathematics Counting, Combinations and Permutations
Since there are 20 varieties of cookies and we have to select 6 cookies.
Number of ways of selecting will depend only upon the number of varieties of cookies we are selecting but not on number of particular type cookie.
How many ways are there to select 6 cookies from 20 varieties: a. if no two...
How many ways are there to choose 8 cookies from 14 varieties if there are exactly two varieties among the 8 cookies chosen
How many ways can you choose 4 cookies from a cookie jar containing 25 cookies of all the same type?
Level 3: Transform the Questions How many unique ways are there to e. select 12 items from 4 varieties of items where each kind with a large supply (Combination) f. select 12 items from 4 varieties of items, say (A, B, C, and D), where each kind with a large supply, and at least three must be A (Combination)? g. In how many ways can 5 boys and 4 girls be arranged on a bench if boys and girls alternate?...
of the following counting problems call for counting combinations ow many ways can a five card poker hand be solected from a standard a. deck of 52 cards ? ifteen women are trying out for parts in a production of Snow White. In hovw many ways can three different women be selected to play Snow White, her evi step mother and the Wicked Witch ? b. F c. Twenty people have volunteered to participate in psychology experiments In how many...
A kindergarten toys? child is allowed to pick two toys from the "Goody Box for demonstrating good classroom behavior. How many ways can he pick toys from a box of 29 he number of ways, N,that the child can select the toys using appropriate counting notation Use the formnP, to represent the number of permutations of n Express t distinct objects taken r at a time or nC to represent the number of combinations of n distinct objects taken r...
How many ways are there to select 8 donuts from 6 types of donuts if at most 3 donuts are chosen from the first two types combined; that is, at least 5 donuts chosen from the other four types. (Hint: break into cases) answer: break into 4 cases for 0 or 1 or 2 or 3 in first two boxes sum for i from 0 to 3 {C(2+i-1,i)xC(4+(8-i)-1,(8-i))};
15to25 15.How many ways are there to seat ten people around a circular table where two seatings are considered the same when every one has the same immediate left and immediate right neighbor? 16.In how many ways can a photographer at a wedding arrange six people in a row, including the bride and groom, if a) the bride must be next to the groom? b) the bride is not next to the groom? 17.How many bit strings of length seven...
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...
16) In how many ways can you select: a) three students from a class of 45 to represent the class? b) three different students from the 50 who apply to receive three different scholarships? a shirt and tie, if you have 20 shirts and 10 ties and they all look good together?
26 A school wants to study whether there is a connection between the grades received in mathematics classes and what other subjects the students attend during the semester Which procedure is most appropriate for this study? Randomly assign students to mathematics classes (if they are planning to take one) and then randomly assign them to other subjects. Let students select all dlasses and then randomly select from the pool of students attending at least one mathematics class. O B. Let...