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36. If a five digit number divisible by 3 is to be formed using the numerals 0, 1, 2, 3, 4 and 5, without repetition, then total number of ways this can be done is
216
240
600
3125
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37. If sides AB, BC, CA of a triangle ABC have 3, 4 and 5 interior points respectively on them, then total number of triangles that can be constructed by using these points as vertices, is
220
204
205
195
38. A student can take one of four Mathematics sections and one of five English sections. The number n of ways he can register for the two courses, is
4
5
20
30
39. There are 10 lamps in a hall. Each one of them can be switched on independently. The number of ways in which the hall can be illuminated is
102
1023
210
10!
40. The number of ways in which 10 persons can sit around a circular table so that none of them has the same neighbours in any two arrangements, is
9!
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