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One card is lost out of 52 cards. two cards are drawn randomly. They are spade. What is the probability that the lost card is also spade?

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TCS Other Question

Jake is faster than Paul. Jake and Paul each walk 24 km. The sum of their speeds is 7 km/h and the sum of time taken by them is 14 hours. Then Jake's speed is equal to :
1(1!)+2(2!)+3(3!)+--------+2012(2012!)=?