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The number of six-digit numbers, all digits of which are odd is ______.

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The number of different words that can be formed from the letters of the word INTERMEDIATE such that two vowels never come together is ______.

[Hint: Number of ways of arranging 6 consonants of which two are alike isand number of ways of arranging vowels

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Three balls are drawn from a bag containing 5 red, 4 white and 3 black balls. The number of ways in which this can be done if at least 2 are red is ______.

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In a football championship, 153 matches were played . Every two teams played one match with each other. The number of teams, participating in the championship is ______.

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The total number of ways in which six ‘+’ and four ‘–’ signs can be arranged in a line such that no two signs ‘–’ occur together is ______.