[Discrete Mathematics] Rule of Sum and Rule of Product Examples

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We do some problems related to the rule of product and rule of sum.

Hello, welcome to TheTrevTutor. I'm here to help you learn your college courses in an easy, efficient manner. If you like what you see, feel free to subscribe and follow me for updates. If you have any questions, leave them below. I try to answer as many questions as possible. If something isn't quite clear or needs more explanation, I can easily make additional videos to satisfy your need for knowledge and understanding.

[stevenparson]

Mr Trevor, I greatly appreciate your videos.

With regards to the president + female vice president problem, I believe you've presented an unnecessarily complicated solution (probably to demonstrate the idea of separating a problem into cases).

For this particular problem, an easier way is to choose the vice president first (1 of 8 females) then the president (1 of the 12 remaining candidates). 8 x 12 = 96.

[daroxz]

5, 400 feels a little extra. If I selected meat A, B, and C it would essentially be the same as B, A and C right? So would combination not be a better fit here? Appreciate the great video

[airamae]

HI sir, why did you used persmutation in the sandwich problem and not combination? Whichever set of meat and cheese you get, it'll just be the same sandwich
thank you for this video tho

[PureAndAppliedMath]

Hey, the last part is somehow incomplete! You made it in order. The arrangement of meat and cheese doesn't have to be ordered!

[loubenedicvalle]

I highly appreciate the videos, Sir, since some topics I have to teach in my Discrete Structures for Computer Science are here.

But I think the meat and cheese problem should have used the combinations since the order (arrangement) of order (query of food) is not required.

[imdoug]

You sound like the narrator from the TedED videos

[zacharyhe]

the last question, 3 meat 2 cheese sandwich, my answer is 450, because the order of meat should not be concerned, so do cheese. your solution consider the first meat and second and third, there is no relation with order, I think :)

[husseinkhalil]

How do we know what no repeat means. In those 5400 sandwiches there is always 3 differents meats in each sandwich but a lot of the sandwiches have the 3 same meat combination... they're only in different order. I thought of it as a practical "no repetition" when i first red the question. Restaurant don't sell sandwiches with the same meat but in different order and call them two different meals.

[jasonsourivong]

In the first question of (iii) where did the remainder of 7 come from?

[elizeallen]

How do you use the product and sul rule wheb with 2 heterozygote fruitflies with 1 having Cc and one having bb eye color

[victoriaahmadi]

How many strings from decimal numbers does it exist of length 4 if exactly 3 of them are the same?

[RalphMartinez]

Hi Greta videos— can you direct me to valid/Invalid arguments explanation thank you!!

[jaysmith]

In the last example, why isn't it 5 choose 3 and 6 choose 2?

[oxygen]

I don’t know I feel there is something wrong with the sandwich problem . In the first part shouldn’t it be the number of the way of the meat sandwich plus the number of the way of the cheese sandwich

[Shreya-uclp]

bruh im getting severe high school data management wish i payed more attention in class back

[RiriTaw]

Isnt there a video where u explain sum???

[thisiswhoiam]

For 2nd Q (ii):
Am I wrong?
(5C3) * (6C2)

[volo]

wouldn't the president example with female vice be: either 13*8 or 13*7 since the first pick can be either male or female?

[seyiojewale]

i wonder if you study any of the hermetic material, this first example seems pretty insightful.

[Bleachiiigo]

Seriously i don't hate descrete mathematics but i hate sum and product rule