SOLUTION: Please show me steps for solving using combination and probability formulas A woman has 14 different shirts - 10 white - 4 red if she randomly chooses 2 what is probability she

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Question 1128605: Please show me steps for solving using combination and probability formulas
A woman has 14 different shirts - 10 white - 4 red if she randomly chooses 2 what is probability she will choose 2 white shirts. what is solution in fraction and percent

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
In all, there are  C%5B14%5D%5E2 = %2814%2A13%29%2F2 = 91 different pairs.


When we select only the pair of 2 white shirts, it means that we select from 10 white shirts.


Therefore, the number of all different pairs of white shirts is  C%5B10%5D%5E2 = %2810%2A9%29%2F2 = 45.


The ratio 45%2F91 is the probability under the question and is your ANSWER.

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On Combinations, see introductory lessons
    - Introduction to Combinations
    - PROOF of the formula on the number of 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.