Explanation

Identify the consonants and vowels in the word TRIANGLE:

Consonants: T, R, N, G, L

Vowels: I, A, E

We need to select 3 consonants from the 5 consonants:

Number of ways to select 3 consonants = 5C3 = 5! / (3! x 2!) = 10

We need to select 2 vowels from the 3 vowels:

Number of ways to select 2 vowels = 3C2 = 3! / (2! x 1!) = 3

Now, we need to find the total number of ways to select 3 consonants and 2 vowels:

Total number of ways = Number of ways to select 3 consonants x Number of ways to select 2 vowels

= 10 x 3

= 30

So, the correct answer is:

30