Question

o-4 points HunterDM3 4.1.007. My Notes 2 License plates in India begin with a code that identifies the state and district where the vehicle is registered, and this code is followed ya four-digit identification number. These identification numbers are given sequentially, starting with 0000, 0001, 0002, etc. Once this sequence reaches 9999, letter from the set (A, , Z) is added (in order), and once these run out, additional letters are added, identification numbers proceeds as follows: 0000, 0001, ., 9999, A0000, A0001, , A9999, B0000, B0001, ..., B9999,.., Z0000, Zo001, .., 29999, AA0000, AA0001, and so on. So the sequence (a) How many identification numbers are there using two or fewer letters? (b) If a district registers 10 million cars, how many identification numbers must have three letters? (c) Suppose a district registers 500,000 cars. What percentage of identification numbers have exactly one letter? (d) Suppose a district registers 500,000 cars. What percentage identification numbers have no letters? 06 (e) Suppose you see a plate in Bangalore, India, with the identification number CR9963. How many vehicles were registered in this district before the vehicle with this plate?

(Please type the answer on computer because I find it difficult to read most of the handwritings!)

Answer 1

a. 7030000

Nidentifieten number wig to feuser letes 4 +(26) (10 703/04 730000 havng 1hree leter No. iclenti fra i 297 0000 7O3 0000- 7ideuti icahion numbe Leter Lany enacty f Cne X/O 500,000 helentificatin number witrurt letter 209 21. 500,000 No. registerd depre CRS363 (o4)t 126 X1o) 12x26 x lo 07x10 t9963 363 963

b. 2970000

c. 52 percent

d. 2 percent

e. 969963