Bissoy.com
Doctors Medicines MCQs Q&A

Determine the number of derangements of (2, 4, 6, 1, 3, 5) that end with integer 2, 4 and 6 in some order?

Determine the number of derangements of (2, 4, 6, 1, 3, 5) that end with integer 2, 4 and 6 in some order? Correct Answer 36

The place of 2, 4, 6 is specified i.e. each of them will get their place out of the last 3 places only. So 1, 3, 5 will automatically get one of the places in the first 3 places. This must ensure that 2, 4 and 6 occupies one of the last 3 places each and 1, 3 and 5 one of 1st 3 places each. Hence, 1, 3 and 5 can be arranged in 3! ways and 2, 4 and 6 also in 3! Ways. So, no of such derangements = 3! * 3! = 6 * 6 = 36.

Related Questions

A particular BNF definition for a “word” is given by the following rules. ∷ = | | ∷ = |  ∷ = |  ∷ = a | b | c | ….. |y| z  ∷ = 0 |1|2| …… | 9 Which of the following lexical entries can be derived from < word > ? l. pick II. picks lll. c44
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
Consider the following relational schema. Students(rollno: integer, sname: string) Courses(courseno: integer, cname: string) Registration(rollno: integer, courseno: integer, percent: real) Which of the following queries are equivalent to this query in English? “Find the distinct names of all students who score more than 90% in the course numbered 107” (I) SELECT DISTINCT S.sname FROM Students as S, Registration as R WHERE R.rollno=S.rollno AND R.courseno=107 AND R.percent >90 (II) Πsname (σcourseno = 107∧percent>90 (Registration ⋈ Students)) (III) {T | ∃S ∈ Students, ∃R ∈ Registration (S.rollno = R.rollno ∧R. courseno = 107 ∧ R.percent > 90 ∧ T.sname = S. sname)} (IV) {〈SN〉 | ∃SR∃RP(〈SR, SN〉 ∈ Students ∧ 〈SR, 107, RP〉 ∈ Registration ∧ RP > 90)}
The sum o three integers is 40. The largest integer is 3 times the middle integer, and the smallest integer is 23 less than the largest integer. what is the product of the three integers?
When a certain positive integer P is divided by another positive integer, the remainder is $${r_{1}}$$ . When a second positive integer Q is divided by the same integer, the remainder is $${r_{2}}$$ and when (P + Q) is divided by the same divisor, the remainder is $${r_{3}}$$ . Then the divisor may be :
Suppliers(Sid: integer, sname:string, city:string, street:string) Parts(pid:integer, pname:string, color:string) Catalog(sid:integer, pid:integer, cost:real) Consider the following relational query on the above database: SELECT S.sname FROM Suppliers S  WHERE S.sid NOT IN (SELECT C.sid FROM Catalog C WHERE C.pid NOT IN (SELECT P.pid FROM Parts P WHERE P.color < > ‘blue’)) Assume that relations corresponding to the above schema are not empty. Which of the following is the correct interpretation of the above query?
In the question given below are two conclusions followed by five statements. You have to choose the correct set of statements that logically satisfies conclusions. Conclusions: I. Some Star are Moon II. Some Sun are not Mars Statements: I. Some Sun are Moon, Some Moon are star and No star is Mars. II. Some Sun are Moon, All Moon are Star and No Star is Mars. III. All Sun are Moon, All Moon are Star and Some Star are Mars. IV. All Sun are Moon, Some Moon are Star and No Star is Mars. V. Some Sun are Moon, Some Moon are Star and No Moon is Mars.
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?
Given below are some statements, followed by some conclusions. Assume the facts in the statements to be true and decide which of the conclusions logically follow(s) from the statements. Statement: Some bags are stickers. Some stickers are stamp. Some stamps are paints. Conclusion: 1. Some bags are stamps. 2. Some stickers are paints. 3. Some paints are stamps. 4. Some paints are stickers.
Given below are three quantities named A, B and C. Based on the given information, determine the relation among the three quantities. Total number of pupils in three classes of a school is 1288. The ratio of children in three classes X, Y, Z is 39 : 64 : 58. In class X number of boys are 26 less than number of girls. Number of boys in class Y is 67.83% more than the number of boys in class X. And, girls in class Z are 25.36% less than the number of girls in class Y. (In calculating number of boys and girls, the decimal value must be rounded off to nearest whole number). Quantity A: Number of boys in class Z. Quantity B: Number of girls in class X. Quantity C: Number of girls in class Y.