How many 5 digit even numbers with distinct digits can be formed using the digits 1, 2, 5, 5, 4?
16
24
36
48
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1
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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?
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2
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If (n + 2)! = 2550 (n!); find ’n’
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3
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One red flower, three white flowers, and two blue flowers are arranged in a line such that
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4
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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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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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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?
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7
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There are 20 people among whom two are sisters. Find the number of ways in which we can arrange them around a circle so that there is exactly one person between the two sisters.
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8
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The number of triangles that can be formed by choosing the vertices from a set of 12 points, seven of which lie on the same straight line, is
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9
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The value of ^{75}P_{2}
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10
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In a single throw with four dice,the probability of throwing seven is
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