A box contains 5 green, 4 yellow and 3 white marbles. three marbles are drawn at random. What is the probability that all they are not of the same colour?
3/44
3/55
52/55
41/44
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1
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Ten participants are participating in a competition. In how many ways can the first three prizes be won?
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2
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How many words can be formed from the letters of the word "SIGNATURE" so that vowels always come together.
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3
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What is the sum of all 4 digit numbers that can be formed by the digits 1, 2, 3, 4 each exactly once
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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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Three chairs are arranged in a row facing three other chairs. 4 boys and 2 girls are to be seated on these chairs such that girls are always facing each other. In how many ways can they be seated?
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6
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If 18Cr = 18Cr+2 ; find rC5.
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7
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A five-letter word is to be formed from a group of 5 vowels and 4 consonants, using at least one vowel and at least one consonant. In how many ways the word having a greater number of consonants than vowels can be formed?
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8
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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
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9
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If (n + 2)! = 2550 (n!); find ’n’
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10
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In how many ways can the letters of the word 'LEADER' be arranged?
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