3 books of mathematics and 5 books of physics are placed on a shelf so that the books on the same subject always remain together .The possible arrangements are .
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The number of possible selections of one or more questions from 8 given questions, each question having an alternative, is |
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A five -digit number divisible by 3 is to be formed using numerals 0,1,2,3,4 and 5 without repetition. The total number of ways this can be done is |
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Let A be containing 10 distinct elements ,then the total number of distinct functions from A to A IS |
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A polygon has 44 diagonals, the number of its sides is |
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The number of triangles that can be formed by choosing the vertices from a set of 12 points, seven of which lie on the same straight line is |
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There are 5 letters and five addressed envelops. the number of ways in which all the letters can be put in wrong envelops is |
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The number of ways in which 8 different flowers can be strung to form a garland so that 4 particular flowers are never separated is |
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At an election there are five candidates and three members to be elected , and a voter may vote for any number of candidates not greater than the number to be elected. Then the number of ways in which a voter may vote is |
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There are n different books and p copies of each. the number of ways in which a selection can be made from them is |
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The sides AB, BC, CA of a triangle ABC have 3,4 and 5 interior points respectively on them. The total number of triangles that can be constructed by using these points as vertices is |
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