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
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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A lady gives dinner party to five guests to be selected from 9 friends .The number of ways of forming the party of 5,given that two of the friends will not attend the party together is |
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Each question has four choices out of which only one is correct. A candidate has to answer four questions. The number of ways he fails to give all answers correctly, is |
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A college has 10 basketball players. A 5-member team and a captain will be selected out of these 10 players. How many different selections can be made? |
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There are 10 yes or no questions. How many ways can these be answered? |
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If the letters of the word CHASM are rearranged to form 5 letter words such that none of the word repeat and the results arranged in ascending order as in a dictionary what is the rank of the word CHASM? |
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