Answer to Question #300637 in Math for hashcake

Question

1. 4 boys and 3 girls are to be seated in a row of 7 chairs. How many ways can it be done under the following conditions:

a. boys stay together?

b. girls stay together?

c. boys and girls are seated alternately?

2. Permute the letters of the word SAINT. How many permutations

a. begin with vowels?

b. end with consonants?

c. begin with a vowel and end with a consonant?

d. begin with a consonant and end with a vowel?

3. In how many ways can 4 people sit a round table if

a. two people insist in sitting beside each other?

b. two refuse to sit beside each other?

c. one has a reserved seat?