How many 5 digit even numbers with distinct digits can be formed using the digits 1, 2, 5, 5, 4?
16
24
36
48
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1
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In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
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2
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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?
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3
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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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4
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In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?
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5
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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 |
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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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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8
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In how many ways can the letters of the word 'LEADER' be arranged?
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9
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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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10
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How many words, with or without meaning, can be formed using all letters of the word EQUATION using each letter exactly once?
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