Class 11

Math

Algebra

Permutations and Combinations

In how many ways the letter of the word $"KUCH,KUCH"$ can be arrangd around the circle path if no two $"H"$ come together?

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The number of ways in which $3$ Mathematics, $4$ Physics, $2$ Chemistry books can be arranged in a shelf so that the books of each subject are kept together is?

How many different numbers (without repetition of digits) can be formed from the digits $1,3,5,7,9$ when taken all at a time and what is their sum?

Nine hundred distinct $n$ digit numbers are to be formed using only the three digits $2,5$ and $7$. the smallest value of $n$ for which this is possible is

There are unlimited number of identical balls of four different colors. How many arrangements of at most $8$ balls in a row can be made by using them?

In how many ways can $13$ question papers be arranged so that the best and the worst are never come together?

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 different signals can be made by hoisting $6$ differently coloured flags one above the other, when any number of them may be hoisted at once?

how many pairs of letters are there in the word ANSWER which have as many letters between them as they have in alphabetical order ?