Find the number of different arrangements of the 9 letters in the word HAPPINESS.
Find the number of different arrangements of the 9 letters in the word HAPPINESS in which the first and last letters are not the same as each other.
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Find the number of different arrangements of the 9 letters in the word HAPPINESS in which the two Ps are together and there are exactly two letters between the two Ss.
The 9 letters in the word HAPPINESS are divided at random into a group of 5 and a group of 4 .
Find the probability that both Ps are in one group and both Ss are in the other group.
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