HSC Science (Computer Science) 11th Standard - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

How many numbers can be formed using the digits 0, 1, 2, 3, 4, 5 without repetition so that resulting numbers are between 100 and 1000?

Find the number of 6-digit numbers using the digits 3, 4, 5, 6, 7, 8 without repetition. How many of these numbers are divisible by 5

Find the number of 6-digit numbers using the digits 3, 4, 5, 6, 7, 8 without repetition. How many of these numbers are not divisible by 5

Find the number of ways in which 5 letters can be posted in 3 post boxes if any number of letters can be posted in a post box.

In how many ways can 5 different books be arranged on a shelf if there are no restrictions

In how many ways can 5 different books be arranged on a shelf if 2 books are always together

In how many ways can 5 different books be arranged on a shelf if 2 books are never together

3 boys and 3 girls are to sit in a row. How many ways can this be done if there are no restrictions

3 boys and 3 girls are to sit in a row. How many ways can this be done if there is a girl at each end

3 boys and 3 girls are to sit in a row. How many ways can this be done if boys and girls are at alternate places

3 boys and 3 girls are to sit in a row. How many ways can this be done if all boys sit together

In the following expansion, find the indicated coefficient.

x³ in `(x^2 + (3sqrt(2))/x)^9`

In the following expansion, find the indicated coefficient.

x⁸ in `(2x^5 - 5/x^3)^8`

In the following expansion, find the indicated coefficient.

x⁹ in `(1/x + x^2)^18`

In the following expansion, find the indicated coefficient.

x^–3 in `(x - 1/(2x))^5`

In the following expansion, find the indicated coefficient.

x^–20 in `(x^3 - 1/(2x^2))^15`

Show That C₀ + C₁ + C₂ + .... C₈ = 256

Show That C₀ + C₁ + C₂ + .... C₉ = 512

Show That C₁ + C₂ + C₃ + .... C₇ = 127

Show That C₁ + C₂ + C₃ + .... C₆ = 63