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

Compute: `(12/6)!`

Compute: (3 × 2)!

Compute: 3! × 2!

Compute: `(9!)/(3!  6!)`

Compute: `(6! - 4!)/(4!)`

Compute: `(8!)/(6! - 4!)`

Compute: `(8!)/((6 - 4)!)`

Write in terms of factorial.

5 × 6 × 7 × 8 × 9 × 10

Write in terms of factorial.

3 × 6 × 9 × 12 × 15

Write in terms of factorial.

6 × 7 × 8 × 9

Write in terms of factorial.

5 × 10 × 15 × 20

Evaluate : `("n"!)/("r"!("n" - "r")!)` for n = 8, r = 6

Evaluate : `("n"!)/("r"!("n" - "r")!)` for n = 12, r = 12

Evaluate `("n"!)/("r"!("n" - "r")!)` for n = 15, r = 10

Evaluate : `("n"!)/("r"!("n" - "r")!)` for n = 15, r = 8

Find n, if `"n"/(8!) = 3/(6!) + (1!)/(4!)`

Find n, if `"n"/(6!) = 4/(8!) + 3/(6!)`

Find n, if `(1!)/("n"!) = (1!)/(4!) - 4/(5!)`

Find n, if (n + 1)! = 42 × (n – 1)!

Find n, if (n + 3)! = 110 × (n + 1)!