Maths Number System
Find the remainder: ([1!]¹+[2!]²+[3!]³+...+[100!]¹⁰⁰)/5
शेषफल ज्ञात कीजिए: ([1!]¹+[2!]²+[3!]³+...+[100!]¹⁰⁰)/5
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A
(a) 1
B
(b) 2
C
(c) 3
D
(d) 4
Correct Answer: Option A
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Explanation / व्याख्या:
5!+ terms div by 5. Sum of first 4: 1¹+2²+6³+24⁴ = 1+4+216+331776. Mod 5: 1+4+1+1=7≡2.
1+4+1+1=7 ≡ 2 (mod 5)।
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