There are three rooms in a motel: one single, one double, and one for four persons. How many ways are there to house seven persons in these rooms?
7! / 1! 2! 3!
7!
7! / 3
7! / 3!
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1
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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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2
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If a team of 4 persons is to be selected from 8 males and 8 females, then in how many ways can the selections be made to include at least 1 female
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3
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If C(n, 7) = C(n, 5), find n
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4
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If P(A)=2/5, P(B)=3/10 and P(A ∩ B) =51, then P(A' | B'). P(B' | A') is equal to
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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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In a simultaneous throw of two dice, what is the probability of getting a total of 7?
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7
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How many natural numbers can be made with digits 0, 7, 8 which are greater than 0 and less than a million?
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8
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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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9
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In how many ways can the letters of the word 'LEADER' be arranged?
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10
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From a pack of 52 playing cards, two cards are drawn together at random. Calculate the probability of both the cards being the Kings.
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