Question

Using the letters of the word YOUNG, tell how many different 5-letter combinations are possible if:

the first letter must be Y

the vowels and consonants alternate, beginning with a consonant (Y is a consonant here and Y does not have to be first).

Answer 1

i think 80, but could be wrong this time. since i have no clue what the vocabs mean in the third sentance

Answer 2

two questions here.
lets answer one question at a time

Answer 3

k

Answer 4

1) the first letter must be Y

you fix the first space as Y. remaining 4 spaces can be filled in 4*3*2*1 ways = 4!

Answer 5

2) must begin with consonant. and vowels and consonants alternate (vowels, consonants must not be together)

Answer 6

3 consonants , 2 vowels

you can choose first letter from 3 consonants in : 3 ways
after that, you can choose second letter from 2 VOWELS in : 2 ways
after that, you can choose third letter from remaining 2 consonants in : 2 ways
after that, you can choose fourth letter from remaining 1 VOWELS in : 1 ways
finally, you can choose third letter from remaining 1 consonants in : 1 ways

so total possible ways = 3*2*2*1*1 = 12

Answer 7

so the answeres r 4 and 12

Answer 8

for first question, its 4!
its not 4

Answer 9

did u understand how we worked it ?

Answer 10

yess

Answer 11

good to hear that :P

Answer 12

lol

Answer 13

tag me if u have more problems of this kind :)

Answer 14

lol ok thanks!