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?
72
96
132
144
None of these
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1
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In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?
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2
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Find the number of ways in which mixed double tennis game can be arranged amongst 9 married couples if no husband and wife play in the same game
Solution 
3
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Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
Solution 
4
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There are seven pairs of black shoes and five pairs of white shoes. They are all put into a box and shoes are drawn one at a time. To ensure that at least one pair of black shoes are taken out, what is the number of shoes required to be drawn out?
Solution 
5
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A teacher has to choose the maximum different groups of three students from a total of six students. Of these groups, in how many groups there will be included in a particular student?
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.
Solution 
7
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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 
8
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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
Solution 
9
Discuss

How many natural numbers can be made with digits 0, 7, 8 which are greater than 0 and less than a million?
Solution 
10
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If C(n, 7) = C(n, 5), find n
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