Question

How many arrangement each consisting of 2 vowels and 2 consonants?

Answer 1

Answer:

8400 (without repeating)

11025 (repeating)

Step-by-step explanation:

Vowels consist of { A , E , I , O, U } and Consonants are { B, C, D, F, G, H, J, K, L, M, N, P, Q, R, S, T, V, W, X, Y, Z }

So there are 5 vowels and 21 consonants.

Arrangement of a word consisting of 2 vowels and 2 consonants is

Case 1 with repetition :

5 * 5 * 21 *21 =11025

Case 2 without repeating:

5 * 4 *21 *20=8400