Class 11

Math

JEE Main Questions

Permutations and Combinations

Number of ways in which 200 people can be divided in 100 couples is a. $2_{100}(100!)(200)! $ b. $1×3×5××199$ c. $(2101 )(2102 )………….(2200 )$ d. $(100)!(200)! $

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How many chords can be drawn through 21 points on a circle?

Evaluate (i) 5! (ii) 7! (iii) 7! – 5!

Using permutation or otherwise, prove that \displaystyle{\left({n}^{{2}}\right)}\frac{!}{{\left({n}!\right)}^{{n}}}{i}{s}{a}{n}\int{e}\ge{r},{w}{h}{e}{r}{e}{n}{i}{s}{a}{p}{o}{s}{i}{t}{i}{v}{e}\int{e}\ge{r}.{\left({J}\exists-{2004}\right]}

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

How many 2 digit even numbers can be formed from the digits 1, 2, 3, 4; 5 if the digits can be repeated?

There are 20 books on Algebra and Calculus in one library. For the greatest number of selections each of which consists of 5 books on each topic. If the possible number of Algebra books are N, then the value N/2 is __________.

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

Rajdhani Express going from Bombay to Delhi stops at five intermediate stations, 10 passengers enter the train during the journey with 10 different ticket of two class. The number of different sets of tickets they may have is a. $_{15}C_{10}$ b. $_{20}C_{10}$ c. $_{30}C_{10}$ d. none of these