a game is played where 26 tiles are in a bag. each tile has a different letter of the alphabet on it. if you draw 5 letters what is the probability of the letters being m-u-s-i-c in order if there is no replacement?

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                                                                                                                                                                                                                                                                                                            do you have more info ?                                                                                                                                                   

Answer:

[tex]\frac{1}{^{26}C_5}[/tex]

Step-by-step explanation:

We are given that there are 26 tiles .

Now to make the word MUSIC we have to select 5 tiles.

So, the number of ways of selecting five tiles for making word music = [tex]^{26}C_5[/tex]

Now we know that the word MUSIC can be correctly spelled in only  1 way

So, Probability of the letters being m-u-s-i-c in order if there is no replacement = [tex]\frac{1}{^{26}C_5}[/tex]

Hence the probability of the letters being m-u-s-i-c in order if there is no replacement is  [tex]\frac{1}{^{26}C_5}[/tex]

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