In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together
10080
4989600
120960
None of these
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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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2
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Four letters are selected from the word “CAPAME” and are rearranged to form four letter words. How many words can be formed?
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3
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In a simultaneous throw of two dice, what is the probability of getting a total of 7?
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4
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How many numbers can be formed from 1, 2, 3, 4, 5 (without repetition), when the digit at the unit’s place must be greater than that in the ten’s place?
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5
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From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least three men are in the committee. In how many ways can it be done?
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6
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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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7
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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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8
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If
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9
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If 18Cr = 18Cr+2 ; find rC5.
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10
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A teacher has to choose the maximum different groups of three students from a total of six students. Of these groups, in how many groups there will be included in a particular student?
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