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Suppose we uniformly and randomly select a permutation from the 20! permutations of 1, 2, 3 ...., 20. What is the probability that 2 appears at an earlier position that any other even number in the selected permutation?

Suppose we uniformly and randomly select a permutation from the 20! permutations of 1, 2, 3 ...., 20. What is the probability that 2 appears at an earlier position that any other even number in the selected permutation? Correct Answer None of these

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Three companies L, M, and N participated in campus recruitment in college Z. All three companies selected an equal number of candidates. Out of the total candidates selected, 60 were selected by both L and M. The number of candidates selected by both M and N was 68 less than twice the number of candidates selected by both L and M. There were 28 candidates who got selected by each L, M and N companies. This number was 50% less than the number of candidates selected by both L and N. The total number of candidates selected by both L and N was 92% less than a total number of candidates selected. The total number of students that got placed in exactly one company was what percent more than the ones that got placed in exactly two companies?
There are two rows, each containing 3 numbers. Below are some rules to be used to get the resultant number for each row separately. Use the rule from left to right for each row and find the answer to the question. Rule: 1. If an even number is followed by an even number, then the first number will be subtracted from the second. 2. If an odd number is followed by an odd number, then both will be added. 3. If an odd number is followed by an even number, then the even number will be subtracted from the square of the odd number. 4. If an even number is followed by an odd number, then the odd number will be subtracted from the even number. Row I: 9,11, 34 Row II: 16, 9, 8 What is the difference between the resultant numbers in the first row and the second row
There are two rows, each containing 3 numbers. Some rules are given below to be used for obtaining the resultant number for each row separately. Apply the rules for each row from left to right and answer the question. Rules: i. If an even number is followed by an even number, the first is to be subtracted from the second. ii. If an odd number is followed by an odd number, both are to be added. iii. If an odd number is followed by an even number, the even number is to be subtracted from the square of the odd number. iv. If an even number is followed by an odd number, the odd number is to be subtracted from the even number. Row I: 28, 19, 12 Row II: 13, 7, 32 What is the average of the resultant numbers of the first row and the second row?
In a survey of 100 students, 55 selected in IBPS Clerk, 36 selected in IBPS PO and 48 selected in SBI Clerk. 16 selected in IBPS Clerk and IBPS PO, 18 selected in IBPS PO and SBI Clerk and 15 selected in IBPS Clerk and SBI Clerk. Then, find the number students who are selected in all three exams (i.e IBPS Clerk, IBPS PO and SBI Clerk)?
A team of six members is to be selected from five men M1, M2, M3 M4, and M5, and five women W1, W2, W3, W4, and W5. W2 and W5 cannot be selected together. M1 and W3 have to be selected together. W3 and W4 cannot be selected with M2. W1 and M5 cannot be selected together. M3 and M4 cannot be selected together. Which of the following members may be selected?
A team of five members is to be selected from five boys B1, B2, B3, B4 and B5 and five girls G1, G2, G3, G4 and G5. B2 and G3 have to be selected together. G1 and B5 have to be selected together. B1 and G5 cannot be selected together. G2 and B4 cannot be selected together. G3 and B5 cannot be selected together. Which of the following members may be selected?
The permutations of {a, b, c, d, e, f, g} are listed in lexicographic order. Which of the following permutations are just before and just after the permutation bacdefg?
An unbalanced dice (with 6 faces, numbered from 1 to 6) is thrown. The probability that the face value is odd is 90% of the probability that the face value is even. The probability of getting any even numbered face is the same.
If the probability that the face is even given that it is greater than 3 is 0.75, which one of the following options is closest to the probability that the face value exceeds 3?
A team is to be selected from 13 players P1, P2, P3, P4, P5, P6, P7, P8, P9, P10, P11, P12 and P13. There will be seven players in the team. P2 cannot be selected with P1, P6 or P4. P7 cannot be selected with P2, P10, P11 or P13. If P8 and P13 both are selected, then P5 must be selected. P4 cannot be selected with P2, P10, P12 or P11. Which of the following is a correct selection of the team?   
A box contains red, green and blue colored balls. When one ball is drawn randomly from the box, the probability that it is either green or blue is 2/3. Also, the probability that the ball drawn randomly from the box is either red or green is 3/5. When two balls are drawn one after another from the box, the probability that both balls are of green color is 1/15. Find the total number of balls in the box.