Question

How many different word can be prepare by rearranging the letters of word baster

Answer 1

Answer:

Explanation:

This tool lists out all the arrangements possible using letters of a word under various conditions. This can be used to verify answers of the questions related to calculation of the number of arrangements using letters of a word.

Answer 2

Answer:

36

We divide the problem into 2 cases

(1) Starting with a vowed and ending with a consonants.

(2) Starting with a consonants and ending with a vowel.

Case (1): The three vowels A,A,U can be arranged in 3 ways

(A−A−U,A−U−A,U−A−A)

Now the three consonants can be placed in 6 different ways 3×6 ways.

Case (2): as in the above case there will be 18 ways in which this can be done

( just swap the places of the words generated above alternatly).

Therefore there are 18+18 i.e., 36 ways.