Two variants of the CAT paper are to be given to 12 students. In how many ways can the students be placed in two rows of six each so that there should be no identical variants side by side and that the students sitting one behind the other should have the same variant. Find the number of ways this can be done
2 x ^{12}C_{6} x (6!)^{2}
2 x 6! x 6!
2 x ^{12}C_{6} x 6!
None of these
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1
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If (n + 2)! = 2550 (n!); find ’n’
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2
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If ^{18}C_{r }= ^{18}C_{r+2 }; find ^{r}C_{5}.
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3
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From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least three men are in the committee. In how many ways can it be done?
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4
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How many 3digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated
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5
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Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is
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6
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A box contains two white balls, three black balls and four red balls. Balls of the same colour are distinct. The number of ways in which three balls can be drawn from the box if atleast one black ball is to be included in the draw, is
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7
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A biased coin in tossed thrice. What is the probability that heads turns out at least twice considering that the probability of a head is 60%?
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8
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A basketball team of 5 players is to be selected from a group of 10 men and 8 women players. A volley ball team of 6 players is to be selected from a group of 8 men and 7 women players. Find the difference in the number of ways in which both the teams are selected, given that each team has only 2 female players.
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9
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In how many ways can 10 people line up at a ticket window of a railway station?
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10
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From among the 36 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done?
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