If C(n, 7) = C(n, 5), find n
12
15
18
-1
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1
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In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?
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2
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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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3
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Find the number of ways in which mixed double tennis game can be arranged amongst 9 married couples if no husband and wife play in the same game
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4
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Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is
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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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Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
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7
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One red flower, three white flowers, and two blue flowers are arranged in a line such that
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8
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A basketball team of 5 players is to be selected from a group of 10 men and 8 women players. A volley ball team of 6 players is to be selected from a group of 8 men and 7 women players. Find the difference in the number of ways in which both the teams are selected, given that each team has only 2 female players.
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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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A polygon has 44 diagonals. What is the number of its sides?
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