What is the probability of getting at least one six in a single throw of three unbiased dice?s
91/216
1/216
200/216
17/216
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1
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If ^{18}C_{r }= ^{18}C_{r+2 }; find ^{r}C_{5}.
Solution 
2
Discuss

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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3
Discuss

If (n + 2)! = 2550 (n!); find ’n’
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4
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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)?
Solution 
5
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Seven different objects must be divided among three people. In how many ways can this be done if one or two of them must get no objects?
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6
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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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7
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How many parallelograms will be formed if 7 parallel horizontal lines intersect 6 parallel vertical lines?
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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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In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
Solution 
10
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There are seven pairs of black shoes and five pairs of white shoes. They are all put into a box and shoes are drawn one at a time. To ensure that at least one pair of black shoes are taken out, what is the number of shoes required to be drawn out?
Solution 
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