### How many permutations are there of the word LOLLIPOP?

TAG:

Best Answer

4) 8C3x⁵(2y)³ => 56x⁵(8)y³

=> 448x⁵y³

:)>

Other Answers

1#

Rearrange letters so as to group duplicates together:

I LLL OO PP

1 I

3 L's

2 O's

2 P's

8 letters in total

Permutations: 8! / (1! * 3! * 2! * 2!) = 1680

4.

(x + 2y)^8 = ∑ [k = 0 to 8] C(8,3) x^(8−k) (2y)^k

Since we start with k = 0, then 4th terms means k = 3

C(8,3) x^(8−3) (2y)^3

= 56 x^5 * 8y^3

= 448 x^5 y^3

Rearrange letters so as to group duplicates together:

I LLL OO PP

1 I

3 L's

2 O's

2 P's

8 letters in total

Permutations: 8! / (1! * 3! * 2! * 2!) = 1680

4.

(x + 2y)^8 = ∑ [k = 0 to 8] C(8,3) x^(8−k) (2y)^k

Since we start with k = 0, then 4th terms means k = 3

C(8,3) x^(8−3) (2y)^3

= 56 x^5 * 8y^3

= 448 x^5 y^3

Discover Questions in Polls & Surveys

- Solve the following trinomial x2 + 9x + 18 = 0?
- Why is there 60 seconds in one minute but 200 in 2 minutes?
- Rounding up?
- The product of two whole numbers is 364. if the difference of the numbers is 15, what is their sum?
- If a fridge was a cube, 1 x 1 x 1 metres. How many cans of coke (6.5 cm in diameter and 13cm in height) will fit into the fridge?
- A straight line passes through the points P (1, -1), Q (4, 1), R (k, 3). Find the value of k.?

Categories