Purchase Solution

Permutaion and Combination

Not what you're looking for?

Ask Custom Question

1. A group of 3 students is to be selected from a group of 12 students to take part in a class in cell biology.

a. In how many ways can this be done?

b. In how many ways can the group who will not take part will be chosen?

2. After studying all night for a final exam, a bleary eyed student randomly grabs 2 socks from a drawer containing 9 black, 6 brown, and 2 blue socks all mixed together. What is the probability that she grabs a matched pair?

3. Argue that the probability that in a group of n people exactly one pair have the same birthday is

(n/2). (p(365,n-1)/365 ^n)

Purchase this Solution
Solution Summary

This solution contains over 100 words and calculations to aid you in understanding the solution to these questions.

Solution Preview

1. a. 12C3=12*11*10/(1*2*3)=220
b. 12C9=12*11*10/(1*2*3)=220

2. She can pick any of the first socks, but the second one should match the first one, so the probability will be
P(matched pair) = P(first one is black)*P(second one is black/first one is ...

Purchase this Solution
Free BrainMass Quizzes
Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

View More Free Quizzes
Related BrainMass Solutions

  • present value of ordinary annuity and combination

    The second part of the solution elaborates on the combination and permutaion problems.

  • Group Theory : Permutation Groups and Counting Principles

    89844 Group Theory : Permutaion Groups and Counting Principles Using O(N) = Σca for some choices of a in N , prove that in A5 there is no normal subgroup N other than (e) and A5 . Please see the attached file for the complete solution.

  • minimum cost combination

    What is the minimum cost combination?

  • Advanced Accounting Business Combination

    Integrated incurred direct costs of $135,000 in arranging the business combination and $42,000 of co9sts associated with registering and issuing the common stock used in the combination.

  • Card Readers and Combination Key Pads as Security Measures

    413615 Card Readers and Combination Key Pads as Security Measures Learn more about card readers and combination key pads.

  • Wire and Cork System

    Density of cork/wire combination = 68.61 grams / 68.61 cm^3 = 1.00 gram/cm^3. This solution looks at the mass and density of a wire and cork system.

  • Permutation or Combination Calculations

    replacement c) Numbers chosen for the "Big" lotto Combination and with replacement d) The cards in your hand for a card game Combination and without replacement e) Lunch chosen by a student from the cafeteria menu Combination and with replacement

  • Monopoly/Oligopoly

    You are the manager of a monopoly, and your demand and cost functions are given by P = 200 - 2Q and C(Q) = 2,000 + 3Q2, respectively. a. What price-quantity combination maximizes your firm's profits? b. Calculate the maximum profits.

  • permutation and combination

    297336 Similarities and Differences Between Permutation and Combination What are some similarities and differences between permutations and combinations? Give a real-life example of either a permutation or combination.

View More Related Solutions