How many words can be formed from the letters of the word "SIGNATURE" so that vowels always come together.
17280
4320
720
80
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A, B, C, D and E sit on five chairs all of which are facing north. C will sit only on the leftmost chair and B will not sit anywhere to the left of A. In how many ways they can be seated?
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2
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A fair coin is tossed 5 times. What is the probability of getting at least three heads on consecutive tosses?
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3
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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.
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4
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If
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5
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In how many ways can 10 people line up at a ticket window of a railway station?
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6
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Ten participants are participating in a competition. In how many ways can the first three prizes be won?
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7
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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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8
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How many four-digit numbers, each divisible by 4 can be formed using the digits 5, 6, 7, 8, 9, repetition of digits being allowed in any number?
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9
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If A and B are two independent events with P(A) = 3/5 and P(B) = 4/9 , then P(A' ∩ B' ) equals
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10
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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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