In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together
10080
4989600
120960
None of these
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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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A number lock on a suitcase has 3 wheels each labeled with 10 digits from 0 to 9. If the opening of the lock is a particular sequence of three digits with no repeats, how many such sequences will be possible?
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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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It is required to seat 5 boys and 4 girls in a row so that the girls occupy the even places. How many such arrangements are possible?
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5
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A speaks truth in 75% cases and B in 80% of the cases. In what percentage of the cases are they likely to contradict each other, narrating the same incident?
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6
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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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7
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If (n + 2)! = 2550 (n!); find ’n’
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8
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The value of 75P2
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9
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10
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How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?
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