Campus Maths Puzzle Category

any can told me when we use nc2,n-1.n in handshake process and what is cylic pair, no cylic pair etc.... plz explain

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13,69,345._______ 400 people participated in 100 m running race 35% were girls and 20% of the girls failed to reach the destination. If 75% of the children completed the race find the number of boys who completed race