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Earn 100

Sarvesh Verma has 3 mobile wallets - PayPal, PayTM and PayU - installed in his smartphone. Initially, he has only  Rs 100 in PayPal wallet and other two wallets have nothing. He can transfer his money from one wallet to any other wallet without any transaction charges or any incentives. One day, he performs seven online transactions, and in every transaction he empties his one wallet completely into another wallet. After seven. transactions he has  Rs 100 in PayPal wallet. During this procedure neither he pays any amount to nor receives any amount from any third party by any means. In how many different ways can he make these transactions?

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Important Questions on Permutations & Combinations

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Kamlesh, the sulochan boy, has 100 identical matchsticks. How many distinct rectangles can he form using at most 100 matchsticks?
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Two teams - Anadi and Khiladi - are playing a cricket match. Anadi requires 12 runs in the last 3 balls to win the match. Any team can score 0 to 6 runs, except 5 runs, from a particular ball. In how many different ways Team Anadi can score 12 runs without any no-ball and wide-ball in the last 3 balls?
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Each employee in our office at Lamamia must wear a shirt, a tie and a pair of pants to dress up oneself. Thus, any employee in our office can wear exactly 105 distinct combinations with the help of different colours. No two employees have equal number of quantities of all the three things individually. That is no two employees have x shirts, y ties and z pairs of pants. No two employees have the same colours of their clothes. Maximum how many employees are there in our office?
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How many 8 digit numbers can be formed with the digits 1,2,3,4,5,6,7,8 such that no digit repeats and none of the patterns 12,34,56, or 78 appears in any arrangement?
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Maximum number of points of intersection of 6 circles, is
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Maximum number of points of intersection of 6 straight lines is :
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Maximum number of points into which 3 circles and 3 lines intersect is ;
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Eight identical coins are arranged in a row. The total number of ways in which the number of heads is equal to the number of tails, is :