Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

1. If we write the dates with numbers exclusively, the firstof January 1999 can

ID: 3095024 • Letter: 1

Question

1. If we write the dates with numbers exclusively, the firstof January 1999 can be written as 1.1.1999. This date has theproperty that a string of identical digits (in this case ones) isfollowed by a second string of identical digits (in this casenines), and nothing else. If x is the number of such dates in 1999and y the number of such dates in 2000, the value of X x Yis a. 0   b. 2   c. 4    d.6     e. 8 1. If we write the dates with numbers exclusively, the firstof January 1999 can be written as 1.1.1999. This date has theproperty that a string of identical digits (in this case ones) isfollowed by a second string of identical digits (in this casenines), and nothing else. If x is the number of such dates in 1999and y the number of such dates in 2000, the value of X x Yis a. 0   b. 2   c. 4    d.6     e. 8

Explanation / Answer

In 1999, we have 1.1.1999, 1.11.1999, 11.1.1199, and 11.11.1999, sox=4 in 2000, we have 2.2.2000, 2.22.2000, so y=2 thus, x*y = 4*2 = 8