In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
63
90
126
45
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1
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In how many ways can the letters of the word 'LEADER' be arranged?
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2
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How many four-digit numbers, each divisible by 4 can be formed using the digits 5, 6, 7, 8, 9, repetition of digits being allowed in any number?
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3
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Find the probability that a leap year selected at random will contain 53 Sundays
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4
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A coin is tossed 5 times. What is the probability that head appears an odd number of times?
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5
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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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6
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There are 6 letters for 3 envelopes. In how many different ways can the envelopes be filled?
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7
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A, B, C, D and E sit on five chairs all of which are facing north. C will sit only on the leftmost chair and B will not sit anywhere to the left of A. In how many ways they can be seated?
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8
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From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least three men are in the committee. In how many ways can it be done?
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9
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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 |
10
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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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