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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A coin is tossed 5 times. What is the probability that head appears an odd number of times?
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2
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In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
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3
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There are three rooms in a motel: one single, one double, and one for four persons. How many ways are there to house seven persons in these rooms?
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4
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A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?
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5
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Three unbiased coins are tossed. What is the probability of getting at most two heads ?
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6
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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
Solution 
7
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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 
8
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How many parallelograms will be formed if 7 parallel horizontal lines intersect 6 parallel vertical lines?
Solution 
9
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A polygon has 44 diagonals. What is the number of its sides?
Solution 
10
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How many fourdigit numbers, each divisible by 4 can be formed using the digits 5, 6, 7, 8, 9, repetition of digits being allowed in any number?
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