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All the letters of the word $MOTHER$ are arranged in all possible ways and the resulting words (may or may not have meaning) are arranged as in the dictionary. The number of words that appear after the word $MOTHER$ is

${ }^{20}P_5 - { }^{19}P_5 = $

The number of arrangements of the letters of the word $INDEPENDENCE$ in which all the vowels always occur together is

The sum of the digits in the unit's place of all the $4-$ digit numbers formed by using the digits $3, 4, 5,$ and $6$,without repetition,is:

What is the probability that the two $E$'s come together in the words formed by the letters of the word $PEACE$?

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