how many ways can the word MOGGOMBABA be arranged hence find S_∞ of a sequence a,ar,ar^2 in integral 1,(√2) , 2,...


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Question Number 33230 by Rio Mike last updated on 13/Apr/18

$h o w m a n y w a y s c a n t h e w o r d$ $M O G G O M B A B A$ $b e a r r a n g e d h e n c e f i n d S_{\infty} o f a$ $s e q u e n c e a, a r, {a r}^{2} i n i n t e g r a l$ $1, \sqrt{2}, 2, . . .$
	Answered by Joel578 last updated on 14/Apr/18

	$(1) Word ‘ ‘ {M O G G O M B A B A}^{″}$ $can be arranged in = \frac{10!}{2! 2! 2! 2! 2!} = 362880 ways$ $(2) 1, \sqrt{2}, 2, 2 \sqrt{2}, 4, . . .$ $a = 1, r = \sqrt{2}$ $Since r > 1 hence S_{\infty} diverge$
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