Question

How many words, with or without meaning, each of 3 vowels and 2 consonants can be formed from the letters of the word INVOLUTE

Answer 1

Answer:

2880 Words can be formed

Step-by-step explanation:

Vowels = I  , O  , U , E  = 4

Consonants = N , V  , L , T  = 3

3 vowels can be selected in ⁴C₃  =  4  Ways

2 Consonants can be selected in ⁴C₂  =  6  Ways

Number of Ways = 4 * 6 = 24 Ways

Now 3 Vowels + 2 Consonant = 5 Letters

can be arranged in 5!  Ways = 120  Ways

Total Words = 24 * 120  = 2880

2880 Words can be formed