1. Answer the following questions regarding permutations and combinations. How many different 5-digit octal numbers are...

1. Answer the following questions regarding permutations and combinations.

How many different 5-digit octal numbers are there which do not contain the digit 0?

How many different 5-digit octal numbers are there which do not contain the digit 0 and in which all digits are different?

How many 5-digit octal numbers are there which do not contain the digit 0 and where the third digit is an odd number and the last digit and even number?

How many different combinations of three 5-digit octal numbers and two 3-digit hexadecimal numbers are there where, in all numbers, all digits are odd and where all 5 numbers are different? (for a hexadecimal number, consider 1,3,5,7,9,B,D,F to be odd)

Expert Solution

Colby Messinger answered 2 years ago

How many different permutations are there of the numbers 1, 2, 3, 4, 5 so that...

How many different permutations are there of the numbers 1, 2, 3, 4, 5 so that the even numbers and the odd numbers alternate in the list?

Question1: How many of the 5-digit numbers that can be written with the numbers 1, 2,...

Question1: How many of the 5-digit numbers that can be written with the numbers 1, 2, 3, 4 contain both numbers 1 and 2? question2: 3 married couples shown as a1a2, b1b2, c1c2 want to sit in a row. How many different ways can these married couples sit in a row, without a husband and a wife from the same couple coming together?

For a 3 digit code with distinct numbers. (0-9) How many combinations to get the code...

For a 3 digit code with distinct numbers. (0-9) How many combinations to get the code (max)? How many combinations if you remember the middle number is 1?

COMBINATIONS Do the following problems using combinations. 1) How many different 5-player teams can be chosen...

COMBINATIONS Do the following problems using combinations. 1) How many different 5-player teams can be chosen from eight players? 2) How many 13-card bridge hands can be chosen from a deck of cards? COMBINATIONS INVOLVING SEVERAL SETS Following problems involve combinations from several different sets. 1) A club has 4 men, 5 women, 8 boys and 10 girls as members. In how many ways can a group of 2 men, 3 women, 4 boys and 4 girls be chosen? 2)...

a) How many 3-digit numbers are there? b) How many 3-digit numbers can you make with...

a) How many 3-digit numbers are there? b) How many 3-digit numbers can you make with all three digits different? c) How many of the numbers is part b) are odd?

5. Using only the digits of 1, 4, 5, 8, (a) How many three digit numbers...

5. Using only the digits of 1, 4, 5, 8, (a) How many three digit numbers can be formed? (b) How many odd numbers greater than 10 can be formed? (c) How many even number less than 300 can be formed? Repetition is allowed!

Use the Basic Counting Law, Permutations, or Combinations to answer the following: 1.) eleven drugs have...

Use the Basic Counting Law, Permutations, or Combinations to answer the following: 1.) eleven drugs have been found to be effective in the treatment of a disease. it is believed that the sequence in which the drugs are administered is important in the effectiveness of the treatment. In how many ways can 5 of the 11 drugs be administered?

Consider four-digit numbers that consist of 0, 1, 2, 5, 6, and 9. a) How many...

Consider four-digit numbers that consist of 0, 1, 2, 5, 6, and 9. a) How many four-digit numbers can be formed from the digits 0, 1, 2, 5, 6, and 9 if each digit can be used only once? (the four-digit numbers can't start with 0). b) How many of those four-digit numbers are even? c) How many are greater than 2200?

1. A) How many three-digit numbers are there for which the sum of the digits is...

1. A) How many three-digit numbers are there for which the sum of the digits is at least 25? B) How many three-digit numbers can be formed if only odd numbers are allowed to be re-used Please combinatorics principles where applicable.

1. How many 12-digit phone numbers can be created with the following restrictions: a) no restrictions...

1. How many 12-digit phone numbers can be created with the following restrictions: a) no restrictions b) first number cannot be zero or one. c) no repeated numbers 2. Find the number of distinguishable permutations of the letters in the following words. a) CALCULUS b) PEPPER c) MISSISSIPPI

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