Identify each problem as Permutation, combination, or both permutatin and combination problem. 1 A group of 10 friendsjoined a treasure - hunting game in a community event. They decided to split into groups to be able to explore 3 target places better. In how many ways can they divide into 2 groups of 3 people and a group of 4 people? 2. The ZIP code used by the Philippine Postal Corporation (PhilPost) to distribute mails and packages consists of 4 - digits. a. How many ZIP codes are possible if there are no digit restrictions? b. How many ZIP codes start with 1 and 1 does not appear in the second, third, and fourth digit? c. Suppose PhilPost decides to add one more digit in the ZIP code, how many additional ZIP codes are possible with no digit restriction? 3. In how many ways can

Identify each problem as Permutation, combination, or both permutatin and combination problem. 1 A group of 10 friendsjoined a treasure - hunting game in a community event. They decided to split into groups to be able to explore 3 target places better. In how many ways can they divide into 2 groups of 3 people and a group of 4 people? 2. The ZIP code used by the Philippine Postal Corporation (PhilPost) to distribute mails and packages consists of 4 - digits. a. How many ZIP codes are possible if there are no digit restrictions? b. How many ZIP codes start with 1 and 1 does not appear in the second, third, and fourth digit? c. Suppose PhilPost decides to add one more digit in the ZIP code, how many additional ZIP codes are possible with no digit restriction? 3. In how many ways can

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

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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Question

Identify each problem as Permutation, combination, or both permutatin and combination problem.
1 A group of 10 friendsjoined a treasure - hunting game in a community event. They decided to split into groups to be able to explore 3 target places better. In how many ways can they divide into 2 groups of 3 people and a group of 4 people?
2. The ZIP code used by the Philippine Postal Corporation (PhilPost) to distribute mails and packages consists of 4 - digits.
a. How many ZIP codes are possible if there are no digit restrictions?
b. How many ZIP codes start with 1 and 1 does not appear in the second, third, and fourth digit?
c. Suppose PhilPost decides to add one more digit in the ZIP code, how many additional ZIP codes are possible with no digit restriction?
3. In how many ways can 6 women and 2 kids be arranged in a row
a. there are no seating restrictions?
b. the two kids must sit together?
c. the two kids must not sit together?

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