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Problem Set- Permutation & CombinationSolve the following. Show your solutions if necessary. Strictly No erasures1.Mark and Erick are to play a tennis tournament. The first person to win two games in a row orwho wins a total of three games wins the tournament. Show the sample space in tree diagram.if repetitions are not permitted (a) how many 3 digit number can be formed from the six digitsof these are less than 400? (c) how7 and 9? (b) how ma6,are even? (c) how

Question
Problem Set- Permutation & Combination
Solve the following. Show your solutions if necessary. Strictly No erasures
1.
Mark and Erick are to play a tennis tournament. The first person to win two games in a row or
who wins a total of three games wins the tournament. Show the sample space in tree diagram.
if repetitions are not permitted (a) how many 3 digit number can be formed from the six digits
of these are less than 400? (c) how
7 and 9? (b) how ma
6,
are even? (c) how
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Problem Set- Permutation & Combination Solve the following. Show your solutions if necessary. Strictly No erasures 1. Mark and Erick are to play a tennis tournament. The first person to win two games in a row or who wins a total of three games wins the tournament. Show the sample space in tree diagram. if repetitions are not permitted (a) how many 3 digit number can be formed from the six digits of these are less than 400? (c) how 7 and 9? (b) how ma 6, are even? (c) how

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Step 1

There are two ways both Mark and Erick can win the tournament that is either they win  two game or all three of them and the  possible combined choices are called as outcomes.

Step 2

The outcomes can be shown through a tree diagram.

Here M denote as Mark and E denote as...

2ND
3RD
1ST
Outcome
GAME
GAME
GAME
(М.мM)
(МMЕ
Е
м
М
(М.Е,M)
E
(М.Е.E)
Start
м
(E,MM)
М
E
(E,ME)
Е
м
(E,E,M
E
(E,E,E)
8 ways
Е
[T]
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2ND 3RD 1ST Outcome GAME GAME GAME (М.мM) (МMЕ Е м М (М.Е,M) E (М.Е.E) Start м (E,MM) М E (E,ME) Е м (E,E,M E (E,E,E) 8 ways Е [T]

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Tagged in

Math

Algebra

Permutations and Combinations

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