Ten participants are participating in a competition. In how many ways can the first three prizes be won?
920
680
720
820
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1
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In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together
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2
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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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3
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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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4
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How many natural numbers can be made with digits 0, 7, 8 which are greater than 0 and less than a million?
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5
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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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6
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Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is
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7
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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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8
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How many words, with or without meaning, can be formed using all letters of the word EQUATION using each letter exactly once?
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9
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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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10
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In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
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