Choose the correct answers from the given four option:

Let S = {x | x is a positive multiple of 3 less than 100} P = {x | x is a prime number less than 20}. Then n(S) + n(P) is.

Question

Choose the correct answers from the given four option: Let S = {x | x is a positive multiple of 3 less than 100} P = {x | x is a prime number less than 20}. Then n(S) + n(P) is.

Aicharya · Accepted Answer

S = {x | x is a positive multiple of 3 < 100}
\(\therefore\) S = {3, 6, 9, 12, 15 18, ....., 99}
n(S) = 33
T = (x | x is a prime number < 20)
\(\therefore\) T = {2, 3, 5, 7, 11, 13, 17, 19}
n(T) = 8
So, n(S) + n(T) = 33 + 8 = 41
Hence, the correct option is (b).

Choose the correct answers from the given four option: Let S = {x | x is a positive multiple of 3 less than…

Solution