SOLUTION: In how many ways can 5 letters be chosen from{Q,R,S,T,U,V,W}, assuming that the order of the choices doesn't matter and that repeats are not allowed?

Algebra.Com
Question 1143547: In how many ways can 5 letters be chosen from{Q,R,S,T,U,V,W}, assuming that the order of the choices doesn't matter and that repeats are not allowed?
Answer by ikleyn(52908)   (Show Source): You can put this solution on YOUR website!
.
This question might be equivalently re-formulated in this way:


    "How many subsets of 5 elements can be formed from 7 distinct elements {Q, R, S, T, U, V, W} ?"


The answer is   =  = 21 subsets.



Here    is the symbol for the number of all combinations of 7 distinct elements taken 5 at a time.


-----------------

On Combinations,  see introductory lessons
    - 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.

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.


RELATED QUESTIONS

In how many ways can 6 letters be chosen from {R,S,T,U,V,W,X,Y,Z}, assuming that the... (answered by Edwin McCravy)
In how many ways can 2 letters be chosen from [R,S,T,U,V}, assuming that the order of the (answered by stanbon)
In how many ways can letters be chosen from {J,K,L,M,N,O,P,Q,R,S} assuming that the... (answered by ikleyn)
In how many ways can 5 letters be chosen from {D,E,F,G,H,I,J,K} , assuming that the... (answered by Edwin McCravy)
How many 4 letter words (doesn’t matter if they are nonsense) can be made from the... (answered by Edwin McCravy)
Cryptic Math P Q R S T U V W X 1. Each letter stands for one of... (answered by Alan3354)
In a lottery daily game, a player picks three numbers from 0 to 9. How many different... (answered by ikleyn)
Hello Can some one tell me if my answer is right. Show all work. Mary purchased a... (answered by Fombitz)
In how many ways can a committee size of 6 be formed from 17 people? Assume that, when... (answered by oscargut)