Q) The collection A={12,13,15,18,23,24,25,26}& B⊆A if m,M ∈B ; m=min & M =max & nm=10k which number of B : 1)59 2)60 3)61 4)62


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Question Number 209732 by MM42 last updated on 19/Jul/24

$Q) T h e c o l l e c t i o n A = {12, 13, 15, 18, 23, 24, 25, 26} & B \subseteq A$ $i f m, M \in B; m = m i n & M = m a x & n m = 10 k$ $w h i c h n u m b e r o f B :$ $1) 5 9 2) 60 3) 61 4) 62$
	Answered by mr W last updated on 20/Jul/24

	$m i n m a x$ $↓ ↓$ $12, 13, 15 \Rightarrow 2^{1} = 2$ $12, 13, 15, 18, 23, 24, 25 \Rightarrow 2^{5} = 32$ $15, 18 \Rightarrow 1$ $15, 18, 23, 24 \Rightarrow 2^{2} = 4$ $15, 18, 23, 24, 25, 26 \Rightarrow 2^{4} = 16$ $18, 23, 24, 25 \Rightarrow 2^{2} = 4$ $24, 25 \Rightarrow 1$ $25, 26 \Rightarrow 1$ $t o t a l l y : 2 + 32 + 1 + 4 + 16 + 4 + 1 + 1 = 61$ $\Rightarrow a n s w e r 3)$
	Commented by MM42 last updated on 19/Jul/24

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