Question

How many words of 4 consonants and 3 vowels can be made from 12 consonants and 4 vowels, if all the letters are different?

Answer 1

Step-by-step explanation:

4 consonants out of 12 can be selected in,

12C4 ways.

3 vowels can be selected in 4C3 ways.

Therefore, total number of groups each containing 4 consonants and 3 vowels,

= 12C4 *4C3 Each group contains 7 letters, which can be arranging in 7! ways.

Therefore required number of words,

= 12C4 *4C3 *7!

is this right pls tell

Answer 2

Number of ways the first consonant can be arranged= 12
Number of ways the second consonant can be arranged= 11
Number of ways the third consonant can be arranged= 10
Number of ways the fourth consonant can be arranged= 9
Number of ways the first vowel can be arranged= 4
Number of ways the second vowel can be arranged= 3
Number of ways the third vowel can be arranged= 2
Therefore the number of words= 12x11x10x9x4x3x2=285120 ways