From among the 36 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done?
1360
1060
1160
1260
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1
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If (n + 2)! = 2550 (n!); find ’n’
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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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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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4
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In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?
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5
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How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?
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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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The value of 75P2
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8
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In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?
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9
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There are 8 orators A, B, C, D, E, F, G, and H. In how many ways can the arrangements be made so that A always comes before B and B always comes before C.
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10
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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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