# Get Expert Help with the Fundamental Counting Principle

Recent questions in Counting Principles
v1kibc2 2023-03-14

## 1 octopus has 8 legs. How many legs does 3 octopuses have?A) 16B 24C) 32D) 14

funnyantyLEy 2022-12-01

## What are the applications of Archimedes' principle ? AIt is used in designing of ships and submarines. BIt is used in lactometers to determine the purity of milk. CIt is used in hydrometers to determine density of fluids. DIt is used in hydraulic lifts.

BenguelaktR 2022-11-23

## Determine the number of different ways that the letters of "success" can be arranged

Jenny Schroeder 2022-11-15

## Different 4 math books , 6 different physics books , 2 different chemistry books are to be arranged on a shelf. how many arrangement is possible if the books in particular subject must stand together ?

kaltEvallwsr 2022-11-02

## Of a group of 50 students, 20 are freshmen, 10 are sophomores, 15 are juniors, and 5 are seniors. 5 members must be chosen. How many different committees can there be if there must be exactly one senior and exactly two freshmen on the committee?

taumulurtulkyoy 2022-10-20

## How do you use the Counting Principle to find the probability of choosing the 5 winning lottery numbers when the numbers are chosen at random from 0 to 9?

Christopher Saunders 2022-10-18

## A bag contains 8 white marbles and 7 blue marbles. Find the probability of selecting 2 white marbles and 3 blue marbles: (hint: use combinations and fundamental counting principle)It doesn't say it, but I'm sure there are no replacements. I know it's a combination, but I don't know how 3C2 (enteblack it equals 3) would be the answer because just "3" doesn't sound right.

Bodonimhk 2022-10-13

## A piece of string $25\frac{1}{2}$ inches long will be cut into $\frac{3}{4}$-inch pieces. How many pieces will there be?

tamnicufl 2022-09-27

## Find the number of Sylow 2-subgroups of the special linear group of order 2 on $\mathbb{Z}$ (modulo 3). I think it will be 1. But I failed to prove it using the counting principle. It has 4 sylow 3-subgroups.

trkalo84 2022-09-22

## In how many ways can 7 people be seated in a row o chairs if Jane and Joe must sit next to each other?

maredilunavy 2022-09-15

## The next three batters on a baseball team have hit percentages of 0.325, 0.250, and 0.275, respectively. What is the probability that the first and third batters will both get a hit, while the second batter does not?

Genesis Gibbs 2022-09-06

## I tried the Fundamental Counting principle approach: There are 26 black cards to chose from for the first card. That leaves $26×25×24×23$ left for the other four cards. So $\frac{26×26×25×24×23}{5!}$ (because we can arrange 5 cards in $5!$ ways). I get 77740. Apparently the answer is: 454480.I'd appreciate help clearing up my misunderstanding. I'd also like to see the combinations approach. Thanks!

musicintimeln 2022-08-14

## I was doing a seemingly trivial question, and I though it was a simple application of the counting theorem but it turns out it doesn't work. Here's the questionFrom a deck of 52 cards, how many ways are there to arrange a hand of 5 cards such that all 4 kings are in the hand (order doesn't matter) (the last card can be any non-king)Now here's my thought process as an application of the counting principle:$\frac{4×3×2×1×48}{5!}$As we have 4! ways of placing the kings and then the last card can be from 48 other cards. Then we divide by 5! to remove the order. Unfortunately, this produces a non-integer so I was very sad indeed. However, it logically seems like it should work as it follows what I think is valid logic. Could someone explain how to get the correct answer (48) and also more importantly, why my logic was incorrect?

magda8471 2022-08-12

## In a computer game, when choosing a character there are 5 choices for hair style, 3 choices for eye color, and 7 choices for outfits. How many different characters are possible if you were to choose 1 hair style, 1 eye color, and 1 outfit?

vangstosiis 2022-07-22