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?
720
760
780
680
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1
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How many parallelograms will be formed if 7 parallel horizontal lines intersect 6 parallel vertical lines?
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2
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In how many ways can a cricketer can score 200 runs with fours and sixes only?
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3
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In how many ways can 10 people line up at a ticket window of a railway station?
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4
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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 |
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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How many integers between 1000 and 10000 have no digits other than 4, 5, or 6?
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7
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Find the probability that a leap year selected at random will contain 53 Sundays
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8
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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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9
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If A, B and C are mutually exclusive and exhaustive events of a random experiment such that P(B)=3/2P(A) and P(C)=1/2P(B), then P(A∪C)=
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10
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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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