Question

How many three character codes can be formed using 26 alphabets and 10 digits? Select one:

a. 46656

b. None

c. 260

d. 36?

Answer 1

26 alphabets + 10 digits = 36 characters

Therefore three character codes from 36 characters will be equal to Superscript 36 Permutation Subscript 3.

Superscript 36 Permutation Subscript 3= 36! / (36 - 3)! = 36! / 33! = (36 × 35 × 34 × 33!) / 33! = 42840

Therefore b. None will be the answer.  

Answer 2

The answer to the given question is 46656 and this is because in each three character code, for each character, there are a total of 36 (26 + 10) possible combinations. So, a total of 36 x 36 x 36 combinations are possible which is equal to 46656 combinations. So, the correct choice of answer for the given question from the given list of all possible answers is: a. 46656