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Question Number 166102 by Tawa11 last updated on 13/Feb/22

	Answered by mr W last updated on 13/Feb/22

	$w e h a v e t o t a l l y 12 r o l l s f o r t h e n u m b e r s$ $1, 2, 3, 4, 5, 6, t h e s u m o f t h e m i s 47 .$ $o n l y o n e n u m b e r o c c u r s 3 t i m e s . {i t}^{'} s$ $e a s y t o g e t t h a t a n o t h e r n u m b e r m u s t$ $o c c u r o n l y o n e t i m e a n d a l l o t h e r$ $n u m b e r s m u s t o c c u r 2 t i m e s e a c h .$ $s a y t h e n u m b e r X o c c u r s 3 t i m e s,$ $a n d t h e n u m b e r Y o c c u r s o n e t i m e,$ $t h e n w e h a v e$ $2 (1 + 2 + 3 + 4 + 5 + 6) + X - Y = 47$ $X - Y = 5$ $t h e o n l y p o s s i b i l i t y i s X = 6, Y = 1 .$ $t h a t m e a n s 6 o c c u r s 3 t i m e s, 1 o c c u r s$ $o n e t i m e, a l l o t h e r s o c c u r 2 t i m e s e a c h .$
	Commented by Tawa11 last updated on 13/Feb/22

	$God bless you sir . I appreciate .$
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