Among 26 letters, there are 5 vowel letters and the remaining are consonant letters. if three letters are randomly picked out to form a code and the chosen letters cannot be repeated, how many codes, which consist of at least two vowel letters, are possible?

1320

Explanation:

The English alphabets have:

5 vowels and 21 consonants.

A three letter code has to be made ans repetition is not allowed and also it must consists atleast 2 vowel letters.

Let's make two cases for it:

2 vowels + 1 consonant

The possible codes = ⁵C₂ × ²¹C₁ × 3! = 10 × 21 × 6 = 1260

3 vowels

The possible codes = ⁵C₃ × 3! = 10 × 6 = 60

Total possible codes = 1320

go work and stop copying and pasting

c.it was a major banking and commerce center.

d.leonardo da vinci

d. to fix corruption and problems in the catholic church

d. to reform the catholic church from within

a. human faces are presented in an idealized, spiritual manner.