EMNA Q.7

0. If g = 10100 and H = 10g, then in which interval does g! = 1 . 2 .3 ........ 10100 lie?

Answer
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Option : D
Explanation :
Choose k, so that 10^H = g^λ= 10^100k
k = H/100
10^H = g^H/100>g^g > g!
On the other hand, 10H = 10 x 10^g= 10^g+1 < g! (most factors are much bigger than 10)
10H < g! < 10^H

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