Class 11

Math

JEE Main Questions

Permutations and Combinations

If $n_{1}$ and $n_{2}$ are five-digit numbers, find the total number of ways of forming $n_{1}$ and $n_{2}$ so that these numbers can be added without carrying at any stage.

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How many 4-letter code can be formed using the first 10 letters of the English alphabet, if no letter can be repeated?

$n_{1}andn_{2}$ are four-digit numbers, find the total number of ways of forming $n_{1}andn_{2}$ so that $n_{2}$ can be subtracted from $n_{1}$ without borrowing at any stage.

Find the number of ways in which we can choose 3 squares on a chess board such that one of the squares has its two sides common to other two squares.

In how many ways can 5 girls and 3 boys be seated in a row so that no two boys are together?

How many numbers lying between 100 and 1000 can be formed with the digits 0, 1, 2, 3, 4, 5, if the repetition of the digits is not allowed?

The number less than 1000 that can be formed using the digits 0, 1, 2, 3, 4, 5 when repetition is not allowed is equal to a. $130$ b. $131$ c. $156$ d. $155$

Let $f(n)=r=0∑n k=r∑n (kr)˙$ Find the total number of divisors of $f(9)˙$

Find the number of different signals that can be generated by arranging at least 2 flags in order (one below the other) on a vertical staff, if five different flags are available.