Write in terms of factorial:3 × 6 × 9 × 12 × 15 - Mathematics and Statistics

Write in terms of factorial:
3 × 6 × 9 × 12 × 15

बेरीज

3 × 6 × 9 × 12 × 15 = 3 × (3 × 2) × (3 × 3) × (3 × 4) × (3 × 5)
= (3⁵) (5 × 4 × 3 × 2 × 1)
= 3⁵ (5!)

shaalaa.com

Concept of Factorial Function

या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?

पाठ 6: Permutations and Combinations - Exercise 6.2 [पृष्ठ ७५]

पाठ 6 Permutations and Combinations
Exercise 6.2 | Q 4. (ii) | पृष्ठ ७५

How many three-digit numbers can be formed using the digits 2, 3, 4, 5, 6 if digits can be repeated?

If numbers are formed using digits 2, 3, 4, 5, 6 without repetition, how many of them will exceed 400?

Evaluate: 8!

Evaluate: 8! – 6!

Compute: `(12/6)!`

Compute: 3! × 2!

Compute: `(9!)/(3! 6!)`

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

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

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

Find n, if (n + 1)! = 42 × (n – 1)!

Find n, if (n + 3)! = 110 × (n + 1)!

Find n if: `("n"!)/(3!("n" - 5)!) : ("n"!)/(5!("n" - 7)!)` = 10:3

Find the value of: `(5(26!) + (27!))/(4(27!) - 8(26!)`

Five balls are to be placed in three boxes, where each box can contain up to five balls. Find the number of ways if no box is to remain empty.

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