There are 20 people among whom two are sisters. Find the number of ways in which we can arrange them around a circle so that there is exactly one person between the two sisters.
2! x 19!
18!
18! x 2!
19!
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How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated
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2
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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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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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How many parallelograms will be formed if 7 parallel horizontal lines intersect 6 parallel vertical lines?
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5
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How many numbers can be formed from 1, 2, 3, 4, 5 (without repetition), when the digit at the unit’s place must be greater than that in the ten’s place?
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6
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Seven different objects must be divided among three people. In how many ways can this be done if one or two of them must get no objects?
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7
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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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8
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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?
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9
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In a single throw with four dice,the probability of throwing seven is
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10
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The number of triangles that can be formed by choosing the vertices from a set of 12 points, seven of which lie on the same straight line, is
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