HSC Science (General) ११ वीं कक्षा - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

Find the number of different arrangements of letters in the word MAHARASHTRA. How many of these arrangements have letters R and H never together?

Find the number of different arrangements of letters in the word MAHARASHTRA. How many of these arrangements have all vowels together?

How many different words are formed if the letters R is used thrice and letters S and T are used twice each?

Find the number of arrangements of letters in the word MUMBAI so that the letter B is always next to A

Find the number of arrangements of letters in the word CONSTITUTION that begin and end with N

Find the number of different ways of arranging letters in the word ARRANGE. How many of these arrangements do not have the two R’s and two A’s together?

How many distinct 5 digit numbers can be formed using the digits 3, 2, 3, 2, 4, 5

Find the number of distinct numbers formed using the digits 3, 4, 5, 6, 7, 8, 9, so that odd positions are occupied by odd digits

How many different 6-digit numbers can be formed using digits in the number 659942? How many of them are divisible by 4?

Find the number of distinct words formed from letters in the word INDIAN. How many of them have the two N’s together?

Find the number of different ways of arranging letters in the word PLATOON if the two O’s are never together

Find the number of different ways of arranging letters in the word PLATOON if consonants and vowels occupy alternate positions

Answer the following:

How many numbers formed using the digits 3, 2, 0, 4, 3, 2, 3 exceed one million?

Answer the following:

How many quadratic equations can be formed using numbers from 0, 2, 4, 5 as coefficients if a coefficient can be repeated in an equation?

Answer the following:

How many six-digit telephone numbers can be formed if the first two digits are 45 and no digit can appear more than once?

Evaluate the following :

`lim_(x -> ∞) [("a"x^3 + "b"x^2 + "c"x + "d")/("e"x^3 + "f"x^2 + "g"x + "h")]`

Evaluate the following :

`lim_(x -> ∞) [(x^3 + 3x + 2)/((x + 4)(x - 6)(x - 3))]`

Evaluate the following :

`lim_(x -> ∞) [(7x^2 + 5x - 3)/(8x^2 - 2x + 7)]`

Evaluate the following :

`lim_(x -> ∞) [(7x^2 + 2x - 3)/(sqrt(x^4 + x + 2))]`

Evaluate the following :

`lim_(x -> ∞) [sqrt(x^2 + 4x + 16) - sqrt(x^2 + 16)]`