All categories

2 years ago

How many different four lettered codes can be formed if the first letter must be an S or a T

Mathematics

1 answer:

emmainna [20.7K]2 years ago

8 0

Answer:

27,600

Step-by-step explanation:

We use the following formula:-

Number of permutations of r from n

= nPr

= n! / (n-r)!

I am assuming you don't allow repeated letters in the 4 letter codes.

Take S as the first letter. Then we have 3 letters extra out of 25 letters.

Using the above formula the possible ways of doing this is

25! / (25 - 3)!

25! / 22!

= 25*24*23

= 13800.

The same number is obtained if the first letter is a T.

So the answer is 2*13800

= 27,600

You might be interested in

SOME ONE HELP!!!!! this test is due soon

valentina_108 [34]

Answer:

4.66 (4 2/3, 14/3)

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Given f(x) = 4(x - 8), determine the value of f(10).

Komok [63]

Answer:

f(x) = 4(x - 8)

4 (10 -8) = 8

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Find the missing angle.

Colt1911 [192]

128 pls tell me if I’m wrong

6 0

2 years ago

1000 was invested at 5.5% interest, compounded annually. After sometime the amount had grown to 1550. How long was the money inv

scZoUnD [109]

compound interest equation for annually compounded

$A=P(1+r)^t$

A=final amount

P=principal

r=rate in decimal

t=time in years

given that

A=1550

P=1000

r=5.5%=0.055

find t

$1550=1000(1+0.055)^t$

divide both sides by 1000

$1.55=1.055^t$

take ln of both sides

$ln(1.55)=ln(1.055^t)$

use ln rule $ln(a^b)=b(ln(a))$

$ln(1.55)=t(ln(1.055))$

divide both sides by ln(1.055)

$\frac{ln(1.55)}{ln(1.055)}=t$

using a calculator, we get that t=8.18544 yrs

so about 8.2yrs

4 0

3 years ago

Given point P (3, 4). What is the distance of point P from (a) x axis (b) y axis?

vova2212 [387]

Answer:

a) 3

b) 4

Step-by-step explanation:

The point P is(3,4)

which means that 3 is the point P's x- coordinate and 4 is it's y-coordinate

Because we use the axes as our reference point when plotting points,

the distance of P from x-axis and y-axis would be the point itself.

6 0

3 years ago