How many words can be formed using exactly 2 vowels and 3 consonants, chosen…
2018
How many words can be formed using exactly 2 vowels and 3 consonants, chosen from 4 vowels and 5 consonants?
- A.
60
- B.
120
- C.
7200
- D.
None of the above
Attempted by 109 students.
Show answer & explanation
Correct answer: C
Correct answer: 7200.
Choose 2 vowels from 4:
C(4, 2) = 6.Choose 3 consonants from 5:
C(5, 3) = 10.Arrange the 5 selected letters:
5! = 120.Total words =
6 x 10 x 120 = 7200.