How many words can be formed from the letters of the word "SIGNATURE" so that vowels always come together.
17280
4320
720
80
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1
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If C(n, 7) = C(n, 5), find n
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2
Discuss

A person tosses an unbiased coin. When head turns up, he gets Rs.8 and tail turns up he loses Rs.4. If 3 coins are tossed, what is probability that he gets a profit of Rs.12?
SolutionPerson will get profit of Rs 12 only when there is 2H (Head) and 1T (Tail) H + H + T = 12 8 + 8 + (4) = 12 Total outcome of 2 head and 1 tail = 2^{3} = 8 i.e (T, H, TH, HT, HH, HHT, HTH, THH) Total event with 2H and 1 T is 3 therfore probability = 3/8 
3
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A committee of 8 members is to be selected from a group of 12 male and 10 female members. In how many ways the committee is selected such that at most two and at least one male member are there in the committee?
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4
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In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
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5
Discuss

In how many ways can a cricketer can score 200 runs with fours and sixes only?
Solution 
6
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There are 8 orators A, B, C, D, E, F, G, and H. In how many ways can the arrangements be made so that A always comes before B and B always comes before C.
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7
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In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?
Solution 
8
Discuss

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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9
Discuss

Four letters are selected from the word “CAPAME” and are rearranged to form four letter words. How many words can be formed?
Solution 
10
Discuss

How many 3digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated
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