Class 11

Math

Algebra

Permutations and Combinations

The number of ways of distributing $8$ identical balls in $3$ distinct boxes so that the none of the boxes is empty is

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Number of ways 6 rings can be worn on four fingers of one hand?

The number of ways of distributing $3$ identical physics bookks and $3$ identical mathematices books among three student such that each student gets at least one bool is

What is the number of triangles that can be formed by choosing the vertices from a set of $12$ points in a plane, seven of which lie on the same straight line?

How many numbers less than $10,000$ can be made from $1,2,3,4,5,6,7,0$?

Find the number of numbers of 5 digits that can be formed with the digits 0, 1, 2, 3, 4 if the digits can be repeated in the same number.

The number of different words that can be made with the letters of the word $PLATE$ so that there are exactly two letters between the two vowels is ____ .

Everybody in a function shakes hand with everybody else. The total number of handshakes are 45. Find the number of persons in the function.

In how many different ways can the letters of the word `KURUKSHETRA' be arranged?