(Q). How many distinct lines can be drawn through 10 points, 5 of which are on a straight line & remaining 5 are on other straight line which is parallel to the first straight line?Solution:-¹⁰C₂ – ⁵C₂ – ⁵C₂ + 1 + 1= 45 – 10 – 10 + 2= 27 ...
(Q). How many straight lines can be drawn through 10 points, exactly 3 of which are collinear?Solution:-Number of straight lines= ¹⁰C₂ – ³C₂ + 1= 45 – 3 + 1 = 43 ...
(Q). In an election 3 person are to be selected from 6 candidates. A voter can cast any number of votes but not more than the candidates to be elected. In how many ways can he cast his vote?Solution:-A voter can vote for either 1 or 2 or 3 contestants.Hence required...
(Q). 8 people are to be selected for a work from a group of 20 people such that exactly one from Mr. & Mrs. A is selected, similarly one from Mr. & Mrs. B and Mr. & Mrs. C and Mr. & Mrs. D is selected for the work. How many ways this can be...
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