Home Maths Permutations & Combination NTA Abhiyas Question Digit at the unit place of the sum of (1!) 2…
Maths Permutations & Combination NTA Abhiyas Question Single Correct MCQ
Published on: August 13, 2026

Digit at the unit place of the sum of (1!) 2 + (2!) 2 + (3!) 2 ......... + (2008!) 2 is

A
5
B
7
C
9
D
6

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Text Solution

Verified by Experts
The correct answer is:
B

7

Given the sum S = (1!) 2 + (2!) 2 + (3!) 2 +.......+ (2008!) 2

Since the digit at units place is zero in n! for n 5

Hence, S = (1) 2 + (2) 2 + (6) 2 + (24) + numbers having zero at units place

= 617+ all other numbers having zero at units place

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