Consider the statement

In an appliance repair shop, the following are found $10$ televisions for repair, of which $3$ are of brand $A$, $3$ of brand $B$ and $4$ of brand $C$. The order in which the televisions are repaired is random.

I want to find the probability $P_{1}$ that the order of repair of the TV sets is $CABCABCABC$

Naturally, there are $10!$ ways to repair $10$ televisions considering order, but my question is about how to find the number of ways to accommodate the pattern $CABCABCABC$

Any help to solve the doubt? thank you!

  • 2
    $\begingroup$ A general technique to answer questions like this -- one that gives a simple formula you can immediately write down without any computation -- is described at stats.stackexchange.com/a/415878/919. $\endgroup$
    – whuber
    Feb 26 at 15:19


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Browse other questions tagged or ask your own question.