2. A footbal! team of 11 players is to be selected from short list of 16 players. Find the number of ways in which the team can be chosen if a) at most one of the three oldest players is to be included. b) at least two of the four youngest players are to be included. d the nunmbare of

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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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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(10At a party, l1 boys and 5 girls are to ferm 8 dancing pairs in such a way that each gir! is
paired with a boy. Find the number of dancing pairs that can be formed.
11, Car numbers in the ten provinces of Cameroon are in the form AD 1323 H. where the two
letters at the beginning show the province in which the car is registered, the 4 digits
following the two letters are taken form the digits 0 to 9 inclusive and the letter at the end is
one of the 26 letters of the alphabet. Given that the 4 digits must not all be zeros, find the
maximum number of cars which can be registered in Cameroon using this system.
42. A footbal! team of 11 players is to be selected from short list of 16 plavers. Find the number
of ways in which the team can be chosen if
a) at most one of the three oldest players is to be included.
b) at least two of the four youngest players are to be included.
43. Find the numbers of ways in which a committee of 4 persons can be chosen form a group of
8 men and 5 women, given that it must contain at most 2 women.
14. A and B are members of a group of 10 boys.
A Find the number of ways in which ail the boys can be seated in a row if A and B must sit
togethe:.
Transcribed Image Text:(10At a party, l1 boys and 5 girls are to ferm 8 dancing pairs in such a way that each gir! is paired with a boy. Find the number of dancing pairs that can be formed. 11, Car numbers in the ten provinces of Cameroon are in the form AD 1323 H. where the two letters at the beginning show the province in which the car is registered, the 4 digits following the two letters are taken form the digits 0 to 9 inclusive and the letter at the end is one of the 26 letters of the alphabet. Given that the 4 digits must not all be zeros, find the maximum number of cars which can be registered in Cameroon using this system. 42. A footbal! team of 11 players is to be selected from short list of 16 plavers. Find the number of ways in which the team can be chosen if a) at most one of the three oldest players is to be included. b) at least two of the four youngest players are to be included. 43. Find the numbers of ways in which a committee of 4 persons can be chosen form a group of 8 men and 5 women, given that it must contain at most 2 women. 14. A and B are members of a group of 10 boys. A Find the number of ways in which ail the boys can be seated in a row if A and B must sit togethe:.
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