2.4 Combinatorics Q1) . • In 7-floor buildling elevator there are five persons. This lift is broken and makes stops only on every even floors, where its passengors enn leave only in groups of 2 and 3. In how mny ways they can leave the elevator?

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Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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2.4 Please provide detailed solution with explanation and justification asap to get a upvote for Each part please
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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