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?
2880
2148
3280
3680
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1
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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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2
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In how many ways can the letters of the word 'LEADER' be arranged?
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3
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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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4
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The value of 75P2
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5
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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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6
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How many 5 digit even numbers with distinct digits can be formed using the digits 1, 2, 5, 5, 4?
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7
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There are seven pairs of black shoes and five pairs of white shoes. They are all put into a box and shoes are drawn one at a time. To ensure that at least one pair of black shoes are taken out, what is the number of shoes required to be drawn out?
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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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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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10
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A five-letter word is to be formed from a group of 5 vowels and 4 consonants, using at least one vowel and at least one consonant. In how many ways the word having a greater number of consonants than vowels can be formed?
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