6 Find the number of different ways in which all 8 letters of the word TANZANIA can be arranged so that
- all the letters A are together,
- the first letter is a consonant ( \(\mathrm { T } , \mathrm { N } , \mathrm { Z }\) ), the second letter is a vowel ( \(\mathrm { A } , \mathrm { I }\) ), the third letter is a consonant, the fourth letter is a vowel, and so on alternately.
4 of the 8 letters of the word TANZANIA are selected. How many possible selections contain
- exactly 1 N and 1 A ,
- exactly 1 N ?