HSC Science (Computer Science) 11th Standard - Maharashtra State Board Question Bank Solutions

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In how many ways can 8 Indians and, 4 American and 4 Englishmen can be seated in a row so that all person of the same nationality sit together?

In how many ways can 10 examination papers be arranged so that the best and the worst papers never come together?

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In how many ways 4 boys and 3 girls can be seated in a row so that they are alternate

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Find the number of triangles which can be formed by joining the angular points of a polygon of 8 sides as vertices.

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Find the number of words that can be formed by using all the letters in the word REMAIN If these words are written in dictionary order, what will be the 40^th word?

In the following expansion, find the indicated term:

`(2x^2 + 3/(2x))^8`, 3^rd term.

In the following expansion, find the indicated term.

`(x^2 - 4/(x^3))^11`, 5^th term

In the following expansion, find the indicated term.

`((4x)/5 - 5/(2x))^9`, 7^th term

In the following expansion, find the indicated term.

`(1/3 + "a"^2)^12`, 9^th term

In the following expansion, find the indicated term.

`(3"a" + 4/"a")^13`, 10^th term

Find the constant term (term independent of x) in the expansion of `(2x + 1/(3x^2))^9`

Find the constant term (term independent of x) in the expansion of `(x - 2/x^2)^15`

Find the constant term (term independent of x) in the expansion of `(sqrt(x) - 3/x^2)^10`

Find the constant term (term independent of x) in the expansion of `(x^2 - 1/x)^9`

Find the constant term (term independent of x) in the expansion of `(2x^2 - 5/x)^9`

In the expansion of (k + x)⁸, the coefficient of x⁵ is 10 times the coefficient of x⁶. Find the value of k.

Find the term containing x⁶ in the expansion of (2 − x) (3x + 1)⁹

The coefficient of x² in the expansion of (1 + 2x)^m is 112. Find m

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The total number of terms in the expression of (x + y)¹⁰⁰ + (x − y)¹⁰⁰ after simplification is:

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In the expansion of (x² − 2x)¹⁰, the coefficient of x¹⁶ is