12 person are seated at a round table. Number of ways of selecting 2 persons not adjacent to each other is
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1
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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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10
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A person tosses an unbiased coin. When head turns up, he gets Rs.8 and tail turns up he loses Rs.4. If 3 coins are tossed, what is probability that he gets a profit of Rs.12?
SolutionPerson will get profit of Rs 12 only when there is 2H (Head) and 1T (Tail) H + H + T = 12 8 + 8 + (-4) = 12 Total outcome of 2 head and 1 tail = 23 = 8 i.e (T, H, TH, HT, HH, HHT, HTH, THH) Total event with 2H and 1 T is 3 therfore probability = 3/8 |
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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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The number of circles that can be drawn out of 10 points of which 7 are collinear is
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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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In how many ways can the letters of the word 'LEADER' be arranged?
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6
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In a single throw with four dice,the probability of throwing seven is
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7
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In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?
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8
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Six boys and 4 girls are to be seated in two separate rows with five chairs each, such that two particular girls are always together and all the girls are not in the same row. In how many ways can they be seated?
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9
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How many words can be formed from the letters of the word "SIGNATURE" so that vowels always come together.
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