Question

Let P = {x | x € N and x is a factor of 20} and Q = {x | x €N and x is a factor of 32}
Then:
(i) find n(P) + 2 x n(Q)
(ii) find 3 x n(P) + 4 x n(Q)​

Answer 1

Solution:

P = {1, 2, 4, 5, 10, 20} = n(P) = 6
Q = {1, 2, 4, 8, 16, 32} = n(Q) = 6

Then substitute the values.

i) 6 + 2 x 6 = 18
ii) 3 x 6 + 4 x 6 = 18 + 24 = 42

Hope this will help.