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Q-2: a) Four married couples have bought 8 seats in the same row for a concert. In how many different ways can they be seated: i. Without any restrictions? ii. If each couple is to sit together? iii. If all the men sit together to the right of all the women?

Q-2: a) Four married couples have bought 8 seats in the same row for a concert. In how many different ways can they be seated: i. Without any restrictions? ii. If each couple is to sit together? iii. If all the men sit together to the right of all the women?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Q-2: a) row for a concert. In how many different ways can they be seated: i. Without any restrictions? ii. If each couple is to sit together? iii. If all the men sit together to the right of all the women? b) novels, 3 books of poems, and a dictionary, what is the probability that: i. the dictionary is selected? ii. 2 novels and 1 book of poems are selected? c) studied mathematics, 69 studied history, and 35 studied both mathematics and history. If one of these students is selected at random, find the probability that i. the student did not take either of these subjects? ii. the student took history but not mathematics? Four married couples have bought 8 seats in the same If 3 books are picked at random from a shelf containing 5 In a high school graduating class of 100 students, 54
Transcribed Image Text:Q-2: a) row for a concert. In how many different ways can they be seated: i. Without any restrictions? ii. If each couple is to sit together? iii. If all the men sit together to the right of all the women? b) novels, 3 books of poems, and a dictionary, what is the probability that: i. the dictionary is selected? ii. 2 novels and 1 book of poems are selected? c) studied mathematics, 69 studied history, and 35 studied both mathematics and history. If one of these students is selected at random, find the probability that i. the student did not take either of these subjects? ii. the student took history but not mathematics? Four married couples have bought 8 seats in the same If 3 books are picked at random from a shelf containing 5 In a high school graduating class of 100 students, 54
Q-1: a) Justify your answer: i. 3n(n? = n(mod 10)), domain is the set of positive integers. ii. Ja((a < 1) A (a² > 1)), domain is the set of integers. Determine whether each of the following is TRUE or FALSE, iii. Vm + (m div 3) ), domain is the set of integers. 3 Using the encryption function f (x) = (10-x) mod 26,0 < x < b) 25, to decrypt the message "“DKPG K XCIG HKM". c) Let A, B be any two sets. Prove that if A C B, then A n B = p.
Transcribed Image Text:Q-1: a) Justify your answer: i. 3n(n? = n(mod 10)), domain is the set of positive integers. ii. Ja((a < 1) A (a² > 1)), domain is the set of integers. Determine whether each of the following is TRUE or FALSE, iii. Vm + (m div 3) ), domain is the set of integers. 3 Using the encryption function f (x) = (10-x) mod 26,0 < x < b) 25, to decrypt the message "“DKPG K XCIG HKM". c) Let A, B be any two sets. Prove that if A C B, then A n B = p.
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