If S and T are two sets such that S has 21 elements T has 32 elem… - Vidyadip

Question

If S and T are two sets such that S has 21 elements T has 32 elements and$S \cap T$has 11 elements, how many elements does$S \cup T$have?

✓

Answer

Here n(S) = 21, n(T) = 32 and$n(S \cap T) = 11$

We know that$n(S \cup T) = n(S) + n(T) - n(S \cap T)$

$\therefore n(S \cup T) = 21 + 32 - 11 = 42.$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "(Each question 1 marks)" from SETS→SETS — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

Find the radian measure corresponding to the following degree measures: 125°30'

If $\alpha,\beta$ are roots of the equation $x^2 + lm + m = 0$, write an equation whose roots are $-\frac{1}{\alpha}$ and $-\frac{1}{\beta}$

Three coins are tossed once. Find the probability of getting: 2 heads

Write the coordinates of the orthocentre of the triangle formed by the lines $x^2 - y^2 = 0$ and $x + 6y = 18$.

Reduce the equation into slope-intercept form and find the slope and the y-intercept.
x + 7 y = 0

What is the total number of proper subset of a set consisting of n elements?

Find the degree measure to the radian measure $\left( {use\;\pi \frac{{22}}{7}} \right)\frac{{5\pi }}{3}$

If $\log_\text{x}\text{a},\text{a}^{\frac{\text{x}}{2}}$ and (p - q)th are in G.P., then write the value of x.

If A = {x : x is a natural number}, B = {x : x is an even natural number}, C = {x : x is an odd natural number} and D = {x : x is a prime number}, find:$B \cap D$

Find out the following sentences are statements and which are not. Justify your answer. The cat pussy is black.