A vehicle licence code consists of two distinct digits followed by two distinct…

MATHEMATICS · Single correct · CBSE · Mathematics · Permutations and Combinations · Permutations and Combinations

Problem

A vehicle licence code consists of two distinct digits followed by two distinct uppercase letters. Digits are chosen from

0

–

9

and letters from

A

–

Z

. Digits cannot repeat, letters cannot repeat, but a digit may repeat a letter. How many different licence codes are possible? (a)

65\,000

(b)

60\,840

(c)

58\,500

(d)

52\,650