Find the number of permutations of all the letters in ANABLAVA that does not end with A

Find the number of permutations of the letters a,b,c and d such that b does not follow a,c does not follow b and d does not follow c.

Find the number of permutations of the letters of the word ALLAHABAD.

Find the number of permutations of the letters of the word PRE-UNIVERSITY.

Find the total number of permutations of the letters of the word INSTITUTE.

Find the number of permutation of all the letters of the word MATHEMATICS which starts with consonants only.

Find the number of different permutations of the letters of the word BANANA?