find unit digit of 1!+2!+3!+4!+5!+....+100!


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Question Number 117007 by TANMAY PANACEA last updated on 08/Oct/20

$f i n d u n i t d i g i t o f$ $1! + 2! + 3! + 4! + 5! + . . . . + 100!$
	Answered by mindispower last updated on 08/Oct/20

	$i f n ⩾ 5 n! = 0 (10)$ $1 + 2! + 3! + 4! = 24 + 6 + 4 + 1 = 35$ $u n i t e 5$
	Commented by TANMAY PANACEA last updated on 08/Oct/20

	$i t i s a t r i c k y q u s t e t i o n w h o f a c e i t f i r s t t i m e$
	Commented by bemath last updated on 09/Oct/20

	$why not 24 + 6 + 2 + 1 = 33 ?$ $unit digit 3$
	Commented by malwaan last updated on 09/Oct/20

	$u n i t d i g i t i s 3$
	Commented by TANMAY PANACEA last updated on 09/Oct/20

	$y e s$
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