a. Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can beformed?b. In a group of 6 boys and 4 girls, four children are to be selected. In how many ways can they beselected such that at least one boy should be there?C. From a group of 7 men and 6 women, five persons are to be selected to form a committee sothat at least 3 men are there in the committee. In how many ways can it be done?

Answered: Image /qna-images/answer/985ec4a4-04fc-43db-a573-8805f552ac7b.jpg

Answered: a. Out of 7 consonants and 4 vowels,…

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...

See similar textbooks

Similar questions

How many different committees can be formed from 9 teachers and 30 students if the committee consists of 3 teachers and 4 students? C In how many ways can the committee of 7 members be selected?
In how many ways can a committee of 12 men and 12 women be selected from a panel of 36 men and 40 women?
A committee of 5 people is to be formed from the following 10 people: Len, Mia, Max, Ted, Mel, Ann, Jim, Tim, Moe, Kim. How many combinations are there if there must be exactly 3 people on the committee whose names start with 'M'? Select one: O a. 10C5 O b. Oc. O d. 10P5 (4C3) (6C₂) (4P3) (6P2)
en the letters A, B, C, D, E, F, the number of 3 letter groups that can be made. B. Given 6 people in a club, the number of 6 person committees that are possible C. Given 6 people in a club, the number of ways that a president, secretary and treasurer L0Zd mu2 աալի Given 6 disting ds, the number of INIC. How many arrangements can be made using all the letters in the word OSOYOOS. A. 5040 B. 210 C. 2520 D. 105 the number of arrangements for theard TATTOO given that that the word be poppin. 2) The expression 321 x 320 x 319 x 318 can be simplified as nPr. The value of n + r =
A research team of 7 members must be formed from a group of 10 teachers consisting of 3 senior faculty, 4 junior faculty and 3 rookie faculty members. a. In how many ways can the selection be done if the team must include at least 1 senior faculty member? b. In how many ways can the selection be done if the team must include 2 seniors and at least 1 rookie faculty member?
How many 3 letter words can be made using the letters D, S, M, A, K, E and B if every word must have 1 vowel between 2 consonants? (examples: SAM, BEK, etc.)
there are 18 people from the mathematics department and 325 people from the computer science department in a collegea. how many ways are there to get two representatives?so that one person is from the mathematics department and the other is from the computer science department?b. how many ways are there to get one elected representative, from a combination of the two majors?
How many committees could be formed from 10 students if: there must be 4 or 5 people on the committee? there are 6 people on the committee but John and Mandymust be selected?
In how many ways cana committee consisting of 3 men and 2 women be chosen from seven men and five women?

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS