Three chairs are arranged in a row facing three other chairs. 4 boys and 2 girls are to be seated on these chairs such that girls are always facing each other. In how many ways can they be seated?
96
72
144
120
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1
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Six boys and 4 girls are to be seated in two separate rows with five chairs each, such that two particular girls are always together and all the girls are not in the same row. In how many ways can they be seated?
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2
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In how many ways can the letters of the word 'LEADER' be arranged?
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3
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How many rectangles can be formed out of a chess board ?
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4
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Ten participants are participating in a competition. In how many ways can the first three prizes be won?
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5
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From a pack of 52 playing cards, two cards are drawn together at random. Calculate the probability of both the cards being the Kings.
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6
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12 person are seated at a round table. Number of ways of selecting 2 persons not adjacent to each other is
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7
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In how many ways can a cricketer can score 200 runs with fours and sixes only?
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8
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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
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9
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A box contains 5 green, 4 yellow and 3 white marbles. three marbles are drawn at random. What is the probability that all they are not of the same colour?
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10
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How many numbers can be formed from 1, 2, 3, 4, 5 (without repetition), when the digit at the unit’s place must be greater than that in the ten’s place?
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