The letter tiles p, a, r, t, y are arranged randomly. what is the probability that four tiles could be chosen randomly to spell the word trap

The question is a bit ambiguous...

If you're just making words with 4 of the 5 letters, then there is only 1 way to spell out TRAP. There are

ways of pulling 4 letters from the pool of 5, so the probability of spelling out TRAP is 1/120.

But if you're making words with all of the 5 letters, then there are 2 ways of having the 5 letter word contain TRAP, either YTRAP or TRAPY. There are still

ways of arranging the letters into a word, so the probability of this word containing TRAP is 2/120 = 1/60.

2^y = ln 5, or   y(ln 2) = ln 5.   solving for y,   y = (ln 5) / (ln 2).   y=5

step-by-step explanation: