Five cheer-leaders for a certain egomaniac are given tee-shirts labelled with one of the letters M,P,U,R.T...
Five cheer-leaders for a certain egomaniac are given tee-shirts labelled with one of the letters M,P,U,R.T and file on stage. They are confused and line up in a random order to form a word.
(a) What is the sample space? You need not write out all of the elements of the space, but indicate how many there are and show some pattern for writing them out.
(b) Find the probability that the first letter is T, the middle letter is U and the last letter is P.
(c) Find the probability that word "RUMP" appears in their arrangement (i.e. these letters must appear consecutively and in that order).
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Five cheer-leaders for a certain egomaniac are given tee-shirts
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