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Mathematics 22 Online
OpenStudy (anonymous):

A bag contains 26 tiles, each marked with a different letter of the alphabet. What is the probability of being able to spell the word math with four randomly selected tiles that are taken from the bag all at the same time?

OpenStudy (amistre64):

4/26 id assume

OpenStudy (anonymous):

1/26 * 1/25* 1/24* 1/23 maybe?

OpenStudy (amistre64):

maybe, the questionis an odd read

OpenStudy (anonymous):

4/26 is incorrect

OpenStudy (anonymous):

the answer is 1/ 14950...no idea how

OpenStudy (amistre64):

cant see where they got that either

OpenStudy (anonymous):

yea but i know its right >.<

OpenStudy (amistre64):

what does "all at the same time" mean ?

OpenStudy (amistre64):

26 group 4? 26P4 ----- maybe? 4!

OpenStudy (anonymous):

the tiles are grabbed at once in a handfull

OpenStudy (anonymous):

hmm

OpenStudy (anonymous):

hmm

OpenStudy (amistre64):

how many ways to group 4 out of 26 is it then

OpenStudy (amistre64):

26.25.24.23 ----------- = 14950 4.3.2

OpenStudy (anonymous):

so order of the tiles would matter then?

OpenStudy (amistre64):

when order matters; use nPr when grouping matters nCr

OpenStudy (anonymous):

i cant rearange the tiles to spell math in my hand ?

OpenStudy (amistre64):

nPr --- = nCr r!

OpenStudy (amistre64):

you simply need an m,t,h,a as a group if you pick them all at once right?

OpenStudy (anonymous):

would i have to pick up the tiles in the specific order, or could i rearange them in my hands?

OpenStudy (amistre64):

as long as you got the m,a,t,h in your hands; you can spell math

OpenStudy (anonymous):

k yes

OpenStudy (anonymous):

so thenorder wouldnt matter and i would use combinations

OpenStudy (amistre64):

math mtah mtha etc .... are all valid picks

OpenStudy (amistre64):

yep

OpenStudy (amistre64):

according to the "correct" answer, thats how they solve it

OpenStudy (anonymous):

okay so that 26P4 is invalid?

OpenStudy (amistre64):

26P4 is fine for a start but needs adjusted. 26P4 ----- = 26C4 4!

OpenStudy (anonymous):

oh so simple

OpenStudy (anonymous):

thx didnt see it

OpenStudy (amistre64):

youre welcome; if I didnt see the answer, id a never got it either prolly. Its just an oddly worded question

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