SOLUTION: 1 How many ways may 4cards be drawn randomnly from a deck of 52 cards? 2.How many ways may 5 students be elected from a club with 45 memebers? 3. How many ways may 5 students be

Algebra ->  Probability-and-statistics -> SOLUTION: 1 How many ways may 4cards be drawn randomnly from a deck of 52 cards? 2.How many ways may 5 students be elected from a club with 45 memebers? 3. How many ways may 5 students be       Log On


   



Question 1180029: 1 How many ways may 4cards be drawn randomnly from a deck of 52 cards?
2.How many ways may 5 students be elected from a club with 45 memebers?
3. How many ways may 5 students be seated in a row of 5 chairs fior a pictorial?
4 Hoq many ways can 4 officers in Grade 8 class be elected mong 23 students?
Thank you in advance 😊

Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
.

(1)  In  C%5B54%5D%5E4 = 316251  ways.   Combinations.  The order does not matter.

(2)  In  C%5B45%5D%5E5 = 1221759  ways.   Combinations.  The order does not matter.


(3)  In 5! = 5*4*3*2*1 = 120  ways.   Permutations.  The order does matter.


(4)  In  C%5B23%5D%5E4 = 8855  ways.   Combinations.  The order does not matter.

Solved. All questions are answered.

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On Combinations and Permutations,  see the lessons
    - Introduction to Permutations
    - PROOF of the formula on the number of Permutations
    - Simple and simplest problems on permutations
    - Introduction to Combinations
    - PROOF of the formula on the number of Combinations
    - Problems on Combinations
    - OVERVIEW of lessons on Permutations and Combinations
in this site.   //   I listed here the "introductory" lessons only . . .

Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic  "Combinatorics: Combinations and permutations".


Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.