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Q #36
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In how many ways can seven friends be seated in a row having 35 seats, such that no two friends occupy adjacent seats?

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Q #37
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How many ways can 10 letters be posted in 5 post boxes, if each of the post boxes can take more than 10 letters?

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Q #38
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There are 2 brothers among a group of 20 persons. In how many ways can the group be arranged around a circle so that there is exactly one person between the two brothers?
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Q #39
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How many natural numbers less than a lakh can be formed with the digits 0, 6 and 9?

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Q #40
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There are 20 couples in a party. Every person greets every person except his or her spouse. People of the same sex shake hands and those of opposite sex greet each other with a namaskar (It means bringing one's own palms together and raising them to the chest level). What is the total number of handshakes and namaskar's in the party?

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