If C(n, 7) = C(n, 5), find n
12
15
18
-1
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1
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A polygon has 44 diagonals. What is the number of its sides?
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2
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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?
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3
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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 |
4
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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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5
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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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6
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In how many ways can a cricketer can score 200 runs with fours and sixes only?
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7
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How many 5 digit even numbers with distinct digits can be formed using the digits 1, 2, 5, 5, 4?
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8
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A biased coin in tossed thrice. What is the probability that heads turns out at least twice considering that the probability of a head is 60%?
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9
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How many integers between 1000 and 10000 have no digits other than 4, 5, or 6?
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10
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A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?
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