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?
1360
1060
1160
1260
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1
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How many rectangles can be formed out of a chess board ?
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2
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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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3
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In how many ways can a cricketer can score 200 runs with fours and sixes only?
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4
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How many 4letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?
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5
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A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?
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6
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If P(A)=2/5, P(B)=3/10 and P(A ∩ B) =51, then P(A'  B'). P(B'  A') is equal to
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7
Discuss

A fiveletter word is to be formed from a group of 5 vowels and 4 consonants, using at least one vowel and at least one consonant. In how many ways the word having a greater number of consonants than vowels can be formed?
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8
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How many parallelograms will be formed if 7 parallel horizontal lines intersect 6 parallel vertical lines?
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9
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A speaks truth in 75% cases and B in 80% of the cases. In what percentage of the cases are they likely to contradict each other, narrating the same incident?
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10
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In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
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