Read and understand each problem. Write your answers with computation in the spaceprovided.1. In how many ways can you create 2 letter words from the letters in the word DAVE?Answer:2. How many permutations of 3 vowels can be made from the vowels (a,ej,o,u)without repetition of letters?Answer:3. Inhow many ways can Max select 3 toppings from 10 available toppings for his pizza?Answer:4. Any two lines in a plane form at most one intersection. If there are 10 distinct lines,then what is the maximum number of intersections possible?Answer:5. Six friends want to play chess so that each of them will play each other. How manygames will they have to play?Answer:

The number of ways to select r elements out of n distinct elements is computed using the combination…

Answered: 1. In how many ways can you create 2…

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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Similar questions

How many different 6-letter words can be made a. if the first letter must be E or W and no letter may be repeated? b. if repeats are allowed (but the first letter is E or W)? c. How many of the 6-letter words (starting with E or W) with no repeats end in H?
In how many ways can a hand of 9 diamonds be chosen from an ordinary deck? How can the problem be solved? Select the correct choice below and fill in the answer boxes to complete your choice. O A. Find C( D O B. Find P D A hand of 9 diamonds can be chosen in| ways.
How many 3-letter arrangements can be formed if at least one of the letters is to be chosen from the vowels, a, e, i, o and u?
Pls help ASAP
Given the 8 letters in the word ABSOLUTE, a. How many ways can the letters be rearranged? b. How many arrangements can be formed if A and B must be together? c. How many arrangements can be formed if the word must start with a vowel (A, E, O, or U) and end with "A" or "T"?
Suppose we want to choose 2 letters, without replacement, from the 5 letters A, B, C, D, and E. a) How many ways can this be done, if the order of the choices is relevant? b) How many ways can this be done, if the order of the choices is not relevant?
2.Find the number of 6-letter words that use letters from {A,B,C,D,E} in which no 5 consecutive letters are all the same. (Hint. First count the words that you don'twant to include.)
4) A box contains 5 green, 7 yellow & 10 orange pingpong balls. How many ways can 5 balls be selected if: a. all the balls are orange? b. all the balls are green? c. all the balls are yellow? d. 2 are orange & 3 are yellow? e. 1 is green & 4 are orange?
In how many ways can the letters of the word “LEADER” be arranged?i
1. How many arrangements could be made of the word GRATEFUL if: o there are no restrictions? o the first letter is a vowel and the last letter is a consonant? o the first three letters are vowels? 1. Jessie starts from home and walks three (3) blocks north and five (5) blocks east to the library. From the library, she travels four (4) blocks north and seven (7) blocks east to the pizzeria. o How many different routes can Jessie take to go from home to the library if she is always moving closer to the library? o How many different routes can Jessie take to go from home to the pizzeria if she is always moving closer to the pizzeria? 1. A teacher must select five (5) students to attend a conference. She has 11 males and 13 females to choose from. Determine the number of way of selecting: o a group of five with no restrictions o exactly 3 females o at least 4 males o at most 3 females
A special plate number is made up of 2 letters of the vowel followed by 3 digit numbers. How many plate numbers are there if the letters and digits cannot be repeated in the same plate number? O 14,400 O 14,000 O 7,200 O 7,000 In how many ways can 7 persons be seated around a circular table? O 5040 O 2040 O 1040 O 720
d) The English alphabet contains 5 vowels and 21 consonants. Find the number of 5-letter words (with or without any meaning) composed of 3 different consonants and 2 different vowels.

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