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
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1260
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1
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A, B, C, D and E sit on five chairs all of which are facing north. C will sit only on the leftmost chair and B will not sit anywhere to the left of A. In how many ways they can be seated?
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2
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There are 6 letters for 3 envelopes. In how many different ways can the envelopes be filled?
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3
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If A and B are two independent events with P(A) = 3/5 and P(B) = 4/9 , then P(A' ∩ B' ) equals
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4
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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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5
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How many rectangles can be formed out of a chess board ?
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6
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If four dice are thrown together, then what is the probability that the sum of the numbers appearing on them is 25 ?
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7
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A, B, C, and D are four points, any three of which are noncollinear. Then, the number of ways to construct three lines each joining a pair of points so that the lines do not form a triangle is
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8
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It is required to seat 5 boys and 4 girls in a row so that the girls occupy the even places. How many such arrangements are possible?
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9
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If ,, are probabilities of three mutually exclusive events, then
SolutionAnswer :1/2 
10
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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?
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