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02)• 20 students and the dean came to the cinema and want to sit in the same row, in which there are 21 seats. The dean must sit on the edge of the row, and Alice, Bob and Carol must NOT be put together. In how many ways can they sit down?

02)• 20 students and the dean came to the cinema and want to sit in the same row, in which there are 21 seats. The dean must sit on the edge of the row, and Alice, Bob and Carol must NOT be put together. In how many ways can they sit down?

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 33EQ
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2.4 Question#02 Please provide detailed solution with explanation and justification asap to get a upvote for Question#02
2.4 Combinatorics Q1) • In 7-floor building elevator there are five persoIs. This lift is broken nnd makes stops only on every even tloors, where its pnssengers enn leave only in groups of 2 and 3. In how mnuy ways they can leave the elevator? 02) • 20 students and the dean came to the cinema and want to sit in the same row, in which there are 21 scats. The dean must sit on the edge of the row, and Alice, Bolb and Carol must NOT be put together. In how many ways can they sit down? 03) • In how many ways from a deck of 36 cards you can choose n non- ordered set of 5 ecards so that this set would definitely contain exnctly 2 cluls cards, 1 dinmond card and one queen? Q4) • How many munbers from 1 till 10000 are NOT divisible by 3, 8, 16 and 7? CS Scanned with CamScanner
Transcribed Image Text:2.4 Combinatorics Q1) • In 7-floor building elevator there are five persoIs. This lift is broken nnd makes stops only on every even tloors, where its pnssengers enn leave only in groups of 2 and 3. In how mnuy ways they can leave the elevator? 02) • 20 students and the dean came to the cinema and want to sit in the same row, in which there are 21 scats. The dean must sit on the edge of the row, and Alice, Bolb and Carol must NOT be put together. In how many ways can they sit down? 03) • In how many ways from a deck of 36 cards you can choose n non- ordered set of 5 ecards so that this set would definitely contain exnctly 2 cluls cards, 1 dinmond card and one queen? Q4) • How many munbers from 1 till 10000 are NOT divisible by 3, 8, 16 and 7? CS Scanned with CamScanner
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