In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?
266
5040
11760
86400
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1
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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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2
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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 |
3
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If (n + 2)! = 2550 (n!); find ’n’
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4
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Three unbiased coins are tossed. What is the probability of getting at most two heads ?
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5
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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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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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In a simultaneous throw of two dice, what is the probability of getting a total of 7?
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8
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A speaks truth in 75% cases and B in 80% of the cases. In what percentage of the cases are they likely to contradict each other, narrating the same incident?
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9
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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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10
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From a pack of 52 playing cards, two cards are drawn together at random. Calculate the probability of both the cards being the Kings.
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