A box contains two white balls, three black balls and four red balls. Balls of the same colour are distinct. The number of ways in which three balls can be drawn from the box if atleast one black ball is to be included in the draw, is
32
64
128
None Of These
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1
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If C(n, 7) = C(n, 5), find n
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2
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If A, B and C are mutually exclusive and exhaustive events of a random experiment such that P(B)=3/2P(A) and P(C)=1/2P(B), then P(A∪C)=
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3
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A, B, C, and D are four points, any three of which are noncollinear. Then, the number of ways to construct three lines each joining a pair of points so that the lines do not form a triangle is
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4
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In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?
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5
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In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
Solution 
6
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A fair coin is tossed 5 times. What is the probability of getting at least three heads on consecutive tosses?
Solution 
7
Discuss

There are 20 people among whom two are sisters. Find the number of ways in which we can arrange them around a circle so that there is exactly one person between the two sisters.
Solution 
8
Discuss

If a team of 4 persons is to be selected from 8 males and 8 females, then in how many ways can the selections be made to include at least 1 female
Solution 
9
Discuss

A basketball team of 5 players is to be selected from a group of 10 men and 8 women players. A volley ball team of 6 players is to be selected from a group of 8 men and 7 women players. Find the difference in the number of ways in which both the teams are selected, given that each team has only 2 female players.
Solution 
10
Discuss

If ,, are probabilities of three mutually exclusive events, then
SolutionAnswer :1/2 
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