How many ways are there to choose 8 cookies from 14 varieties if there are exactly...
How many ways are there to choose 8 cookies from 14 varieties if there are exactly two varieties among the 8 cookies chosen
Homework Answers
>> There are 14 different varieties of cookies and we need to choose 8 cookies and all eight must belong to only two varieties that is amongst 8 cookies chosen only two varieties should be there
>> Any 2 cookies from 14 can be chosen in 14C2 ways = 91 ways
>> Now we need to choose 8 cookies from these 2 varieties only and there be at least one chosen from each variety
>>If 1 from each variety is reserved we are left with 6 cookies to be chosen from left and that is to be done in = 2 x 2^6 = 2^7 = 128
>> Hence the total number of ways =91x128 = 11648
Add Answer to:
How many ways are there to choose 8 cookies from 14 varieties if
there are exactly...
How many ways are there to select 6 cookies from 20 varieties: a. if no two...
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
How many ways can you choose 4 cookies from a cookie jar containing 25 cookies of...
How many ways can you choose 4 cookies from a cookie jar containing 25 cookies of all the same type?
25. Task Assignments How many ways can an adviser choose 4 students from a class of...
25. Task Assignments How many ways can an adviser choose 4 students from a class of 12 if they are all assigned the same task? How many ways can the students be chosen if they are each given a different task?
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 o...
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?...
How many ways can Patricia choose 4 pizza toppings from a menu of 5 toppings if...
How many ways can Patricia choose 4 pizza toppings from a menu of 5 toppings if each topping can only be chosen once?
How many ways can Carlos choose 5 pizza toppings from a menu of 9 toppings if...
How many ways can Carlos choose 5 pizza toppings from a menu of 9 toppings if each topping can only be chosen once?
How many ways are there to select 8 donuts from 6 types of donuts if at...
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))};
4. How many ways can you choose three toppings from 10 different toppings available at a...
4. How many ways can you choose three toppings from 10 different toppings available at a Pizza delivery store? Also if you are ranking the three toppings chosen out of 10 toppings, how many different ways are possible? 5. If 40 % of all commuters ride to work in carpools, find the probability that exactly 4 will ride in carpools out of 10 workers? Also find the probability that nobody will ride in carpools out of 10 workers? 6. If...
10 cards are chosen from a standard deck. how many ways can this be done in...
10 cards are chosen from a standard deck. how many ways can this be done in such a way that a) there is at least one card from each suit? b) at least one suit is not chosen? c) exactly one suit is not chosen?
in how many ways can a five-member board of directors be chosen from among nine persons
in how many ways can a five-member board of directors be chosen from among nine persons
25. Task Assignments How many ways can an adviser choose 4 students from a class of 12 if they are all assigned the same task? How many ways can the students be chosen if they are each given a different task?
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?...
4. How many ways can you choose three toppings from 10 different toppings available at a Pizza delivery store? Also if you are ranking the three toppings chosen out of 10 toppings, how many different ways are possible? 5. If 40 % of all commuters ride to work in carpools, find the probability that exactly 4 will ride in carpools out of 10 workers? Also find the probability that nobody will ride in carpools out of 10 workers? 6. If...
Most questions answered within 3 hours.
-
At present, concentration
of 92235U in naturally
occurring uranium deposits is approximately 0.74 %. What will the...
asked 46 seconds ago -
Question 1:
For the following reaction, 8.72 grams of nitrogen gas are
allowed to react with...
asked 3 minutes ago -
Discuss the benefits and detriments of hard water, and your
opinion on using water softeners.
asked 39 minutes ago -
For a Friedel-Crafts alkylation reaction between
1,4-dimethoxybenzene with 3-methyl-2-butanol and sulfuric acid what
product was formed...
asked 19 minutes ago -
This programming assignment needs to be written so that it can
do infix expression to postfix...
asked 24 minutes ago -
Below are the reduction half reactions for chemolithoautotrophic
denitrification, where hydrogen is a source of electrons...
asked 24 minutes ago -
On January​ 2, 2020, the Retail Auto Parts Company received a
notice from its primary supplier...
asked 34 minutes ago -
An electron of kinetic energy 13.0 keV moves in a circular orbit
perpendicular to a magnetic...
asked 38 minutes ago -
1. Explain how a fractionating column increases the separation
of two liquids.
2. What is an...
asked 39 minutes ago -
One of two hydrogen atoms has electrons at n = 1 Bohr orbit
while the other...
asked 41 minutes ago -
On January 1, Year 1, Sheffield Co. issued bonds with a face
value of $200,000, a...
asked 51 minutes ago -
Write a short application that computes the perimeter of a
rectangle. It should allow the user...
asked 51 minutes ago