Soru
6. a=6!.7! b=5!.8! c=7!.7! olduguna gore , aşagidaki siralamalardan hangisi dogrudur? A) agt bgt c B) bgt agt c C) cgt bgt a D) cgt agt b E) bgt cgt a 8. Ve 5 n. o 84 B ha A)
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Elit · 8 yıl öğretmeniUzman doğrulaması
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Let's break down the problem step by step to find the correct answer.<br /><br />Given:<br />\[ a = 6! \times 7! \]<br />\[ b = 5! \times 8! \]<br />\[ c = 7! \times 7! \]<br /><br />First, let's calculate each factorial:<br /><br />- \( 6! = 720 \)<br />- \( 7! = 5040 \)<br />- \( 8! = 40320 \)<br />- \( 5! = 120 \)<br /><br />Now, let's calculate \( a \), \( b \), and \( c \):<br /><br />\[ a = 6! \times 7! = 720 \times 5040 = 3628800 \]<br />\[ b = 5! \times 8! = 120 \times 40320 = 4838400 \]<br />\[ c = 7! \times 7! = 5040 \times 5040 = 25401600 \]<br /><br />Now, let's compare the values:<br /><br />- \( a = 3628800 \)<br />- \( b = 4838400 \)<br />- \( c = 25401600 \)<br /><br />From the calculations, we can see that:<br /><br />\[ c > b > a \]<br /><br />Therefore, the correct answer is:<br /><br />C) \( c > b > a \)
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