How many words can be formed from the letters of the word "SIGNATURE" so that vowels always come together.
17280
4320
720
80
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1
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What is the probability of getting at least one six in a single throw of three unbiased dice?s
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2
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It is required to seat 5 boys and 4 girls in a row so that the girls occupy the even places. How many such arrangements are possible?
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3
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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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4
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In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?
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5
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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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6
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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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7
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One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is not a face card (Jack, Queen and King only)?
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8
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The number of circles that can be drawn out of 10 points of which 7 are collinear is
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9
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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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10
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From among the 36 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done?
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