Anyone can help me pls don't answer link (Permutation Formula)

1. In how many ways can 2 men and 3 women students line up in a canteen courter?

2. A volt consists of 5 letters and 4 number. How many possible lock codes are there if
a. no repetition of letters and numbers is allowed?
b. repetition of letters and numbers not allowed?

3. In how many ways can 9 horses be arranged in a merry-go-round?

4. SCIS will conduct a online beauty pageant "Search for Bininbing Sipnayan". For this year, 11
students join on the said event. In how many ways can 3rd runner up, 2nd runner up 1st runner
up and the title holder be selected?

5. How many distinct arrangement can be formed from the letters and numbers of following
a. COMMITTEE
b. MISSISSIPPI
c. BOOKKEEPER
d. TATTLER​

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

10

step-by-step explanation:

2

step-by-step explanation: