### How many ways are there to choose four members of the club to serve on an executive committee?

– There are $25$ members in a club. – In how many ways can $4$ members be chosen to serve in an executive committee? – In how many

### Events $A$ and $B$ are Mutually Exclusive. Which of the following statements is also true?

This question aims to find statements representing mutually exclusive events when events $A$ and $B$ are mutually exclusive. Two separate events are

### Calculate the double integral of the expression $6x/(1 + xy) dA$, where $R = [0, 6] × [0, 1]$.

This question aims to find the double integral of the given expression over a given range in $x-axi$ and $y-axis$. This question is based on the

### Find the general solution of the given higher-order differential equation: $y^{4} + y^{3} + y^{2} = 0$

This problem aims to find the differential of a higher-order polynomial whose equation is given. An expert understanding of higher-order equations

### A standard deck of cards contains $52$ cards. One card is selected from the deck.

Compute the probability of randomly selecting a spade or diamond. $P(text{spade or diamond)}$ Compute the probability of randomly selecting a spade