Let m and n be two digit natural numbers. The number of pairs (m, n) such that n can be subtracted from m without borrowing is:
see full answer
Your Exam Success, Personally Taken Care Of
1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya
a
2475
b
2550
c
2675
d
2875
answer is A.
(Unlock A.I Detailed Solution for FREE)
Best Courses for You
JEE
NEET
Foundation JEE
Foundation NEET
CBSE
Detailed Solution
Suppose m=10a+b and n=10c+d where 1≤a,c≤9 and 0≤b,d≤9.Note that 0≤d≤b Thus d can take (b+1) values. Similarly, 1≤c≤a, therefor, c can take a values. Hence, the required number of pairs (m,n) is (1+2+…+10)(1+2+…+9)=2475