How many words, with or without meaning, can be formed using all letters of the word EQUATION using each letter exactly once?
38,320
39,320
38,400
40,320
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A, B, C, and D are four points, any three of which are non-collinear. 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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2
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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.
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3
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How many rectangles can be formed out of a chess board ?
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4
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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
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5
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If (n + 2)! = 2550 (n!); find ’n’
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6
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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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7
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A number lock on a suitcase has 3 wheels each labeled with 10 digits from 0 to 9. If the opening of the lock is a particular sequence of three digits with no repeats, how many such sequences will be possible?
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8
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12 person are seated at a round table. Number of ways of selecting 2 persons not adjacent to each other is
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9
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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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10
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How many four-digit 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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