Discrete MathLogic A license plate consists of 4 5 or 6 char

Discrete Math/Logic

A license plate consists of 4, 5 or 6 characters. The characters can be uppercase letters or numbers   but the first character can

Solution

Number of uppercase letters = 26

Number of numerals = 10 (including 0)

Total number of candidates = 36, excluding(0) will be 35

a) Licenese plates

= 35*36*36*36[every 36 possibilities can be used for 2nd,3rd &4th place, except 0 in first place which reduced it to 35) + 35*36*36*36*36 + 35*36*36*36*36*36

(35 since first can\'t be a zero)

b) Number of licenese plates in this case

= 35*36*36*36 + 35*36*36*36*36 + 35*36*36*36*36*36 - 100