Permutation and combination
By Pooja Anand
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1. How many 5 digit telephone numbers can be constructed using the digits 0 to 9 if each number starts with 6 7 and no digit appears more than once?
1 point
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2. Out of 7 consonants and 4 vowels, the number of words ( not necessarily meaningful) that can be made ,each consisting of 3 consonants and 2 vowels, is:
2 points
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3. Given 5 line segments of lengths 2,3,4,5,6 units. Then the number of triangles that can be formed by joining these segments is:
1 point
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4. If C(n,12)= C(n,8), then nis equal to
1 point
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5. If 1/8!  + 1/9! = x/10! , Then x is equal to:
1 point
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6. There are four bus routes between A and B and three bus routes between B and C. A man can travel round- trip in number of ways by bus from A  to C via B. If he doesn't want to use a bus route more than once, in how many ways can get make round trip?
2 points
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7. How many numbers greater than 10,00,000 be formed from 2,3,0,3,4,2,3 ?
2 points
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8. 10 different letters of alphabets are given. Words with 5 letters are formed from the given letters. Then the number of words which have at least one letter repeated is:
2 points
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9. In an examination there are three multiple choice questions and each question has four choices. Number of ways which a student can find to get all answers correct is :
1 point
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10. There are two different boxes. Box A has three distinct red balls and box B has 9 distinct Blue balls. from each box two balls are taken out at random and then transfer to the other. The number of ways in which this can be done is:
2 points
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11 The number of words that can be formed by using all the letters of the word PROBLEM only once is
1 point
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12 The number of integers greater than 6,000 that can be formed using the digits 3,5, 6, 7 and 8 without repetition is
2 points
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13 what is the number of diagonals in a hexagon?
2 points
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