I am really struggling with these 3 permutation and combination questions and so i was wondering if anyone on here knows how to do them?
Q1: Find the number of ways in which 3 boys and 3 girls can be arranged in a straight line so that the 3 boys are not all next to each other.
Q2: Find the number of ways in which a group of 3 people can be chosen from 4 men and 5 women so that the group contains a majority of women.
Q3: A 3 letter code is to be made from the 26 letters of the alphabet (21 consonants and 5 vowels ) where repetition of letters is not allowed.
a. find the number of such three letter codes in which the middle letter is a vowel
b. find the number of three letter codes which contain 2 consonants and 1 vowel.
If anyone can help me with 1 of the questions or all of the questions it would be greatly appreciated
Q1: Find the number of ways in which 3 boys and 3 girls can be arranged in a straight line so that the 3 boys are not all next to each other.
Q2: Find the number of ways in which a group of 3 people can be chosen from 4 men and 5 women so that the group contains a majority of women.
Q3: A 3 letter code is to be made from the 26 letters of the alphabet (21 consonants and 5 vowels ) where repetition of letters is not allowed.
a. find the number of such three letter codes in which the middle letter is a vowel
b. find the number of three letter codes which contain 2 consonants and 1 vowel.
If anyone can help me with 1 of the questions or all of the questions it would be greatly appreciated