Find the number of ways to choose a pair {a,b} of distinct numbers from the set {1,2,3,...,50} such that (i) ∣a−b∣ = 5 (ii) ∣a−b∣ ≤ 5


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Question Number 125207 by liberty last updated on 09/Dec/20

$F i n d t h e n u m b e r o f w a y s t o c h o o s e a p a i r$ ${a, b} o f d i s t i n c t n u m b e r s f r o m t h e s e t$ ${1, 2, 3, . . ., 50} s u c h t h a t$ $(i) ∣ a - b ∣ = 5$ $(i i) ∣ a - b ∣ ⩽ 5$
	Answered by talminator2856791 last updated on 09/Dec/20

	$(i) 2 (45) = 90$ $(i i) 2 (5 (45) + 4 + 3 + 2 + 1)) = 470$
	Answered by john_santu last updated on 09/Dec/20

	$(i) 45$ $(i i) 235$
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