List of top Mathematics Questions

In how many ways 11 identical toys be placed in 3 distinct boxes such that no box is empty?

In how many ways can 8 identical pens be distributed among Aal, Bal, and Cal so that Aal gets at least 1 pen, Bal gets at least 2 pens, and Cal gets at least 3 pens?

In how many ways 5 identical envelopes be placed among 3 distinct boxes such that any number of envelopes can be placed in any box.

Find the number of natural number solutions to \(a + b + c = 8\)

Find the number of whole number solutions to \(a + b + c = 8\)

The number of ways by which 6 distinct balls can be put in 5 distinct boxes are

In how many ways can 8 different chocolates be distributed among 5 children such that each can get any number of chocolates (including zero)?

In how many ways can 8 letters be posted in 5 letter boxes.

How many different words can be formed using all the letters of the word TUESDAY such that no two vowels are together?

In how many ways can the word 'ESPECIALLY' be arranged such that the vowels always come together?

How many words can be formed using all the letters of the word TUESDAY such that all the vowels are together?

The number of words that can be formed by using all the letters of the word 'MISSISSIPPI' is

In how many ways can the letters of the word 'PEANUT' be arranged?

The number of rectangles in a 6 $\times$ 6 grid is ______.

There are 4 horizontal and 4 vertical lines on a board. What is the maximum number of rectangles that can be formed?

From a group of 10 persons, in how many ways can a selection of 4 persons to be made such that a particular person is always included?

There are twelve friends. On the eve of Diwali, they exchanged greeting cards among themselves. How many cards did they exchange altogether?

In Super 30 movie, Anand sir asks every of 30 students to do handshake among themselves, find total number of handshakes.

There are 23 buses available between Dinu's house and his school. How many ways are possible for Dinu to go from his house to school and return using different buses?

Babita has to go to a party. She decides to wear either a Saree or a dress. If Babita has 5 Sarees and 6 dresses, in how many ways can she choose her outfit?

Ram has 4 formal shirts and 5 formal trousers, in how many ways can he choose his outfit for the interview?

If the HCF of 210 and 55 is expressed as \(210 \times 5 + 55m\), then find the value of \(m\).

Find the direction cosines of a line that makes equal angles with the coordinate axes.

In a Binomial distribution with \(n=10\) and \(p=0.4\), find the variance.

Solve the differential equation \( \frac{dy}{dx} = \frac{1+y^2}{1+x^2} \) given \(y(0)=1\).