Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let n 1 = x 1 x 2 x 3 and n 2 = y 1 y 2 y 3 be two 3-digit numbers, then the pairs of n 1 and n 2 can be formed so that n 1 can be subtracted from n 2 without borrowing is -
Text Solution
Verified by ExpertsThe correct answer is:
C
Here, n 1 = x 1 x 2 x 3 and n 2 = y 1 y 2 y
⇒ n 1 can be subtracted from n 2 without borrowing
if y i ≥ x i for i = 1, 2, 3.
∴ Let x i = r ⇒ 
∴ y i = r, r + 1, ……, 9.
Thus, for y 1 , y 2 and y 3 we have (10 – r) choices each
⇒ Total number of ways for choosing y i and x i
= 
· 
= 45 · 55 · 55 = 45 · (55) 2
Hence is correct answer.
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