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
185
175
115
105
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1
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The value of ^{75}P_{2}
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2
Discuss

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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3
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In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?
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4
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From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least three men are in the committee. In how many ways can it be done?
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5
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From a pack of 52 playing cards, two cards are drawn together at random. Calculate the probability of both the cards being the Kings.
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6
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Three unbiased coins are tossed. What is the probability of getting at most two heads ?
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7
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In how many ways the letters of the word “UNDERDOG” can be arranged such that the first and last letters are same and no two vowels are together?
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8
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In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together
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9
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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 ?
Solution 
10
Discuss

The number of circles that can be drawn out of 10 points of which 7 are collinear is
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