if the letters of the word 'MOTHER'are written in all possible order and these words are written out as in dictionary ,find the rank of the word 'MOTHER'.

Answers

Answer 1

Answer: There are 6 letters, each different
Before MOTHER, words from E , H will come
Words from E = 5! (there are 5 letters to arrange)
Words from H = 5!( there are 5 letters to arrange)

Now words starting by M will come.
First ME will have = 4! (as 4 letters will be arranged)
Then MH = 4!
Now words with MO
First words starting with MOE... =3!
And words starting with MOH... =3!
the words starting with MOR... =3!

Now, words starting from MOT will come
words starting with MOTE.. = 2!
then after words starting from MOTH will come and first word will MOTHER

so, total no. of words before MOTHER = 5! + 5! + 2* 4! + 3 * 3!
= 120 +120 + 48 + 18
= 306
so, rank of MOTHER = 307

Related Questions

Suppose two mortgage companies compare the ratio of the monthly mortgage payment to the total monthly income as their metric. Suppose 0.3 is the ideal metric for the debt-to-income ratio for Company A, and 0.28 is the ideal metric for the debt-to-income ratio for Company B. Provided the target mortgage payment is the same for either company, then which of these mortgage companies requires a greater monthly income? Explain.
Given A(2, 3), B(8, 7), C(6, 1), which coordinate will make line AB perpendicular to line CD?D(9, 3)D(4, 4)D(3, 3)D(8, 4)
If 3t-7 = 5t then 6t =How do I solve this? I've tried finding help online, but I'm getting more confused.
Which fractions are equivalent to 4/9?
Convert 6.42 kilograms to grams. 0.00642 g 64.2 g 642 g 6,420 g

Identify the factors of 13m-2n

Answers

Answer:

The factors of $13m$ are 13 and $m$ .

The factors of $2n$ are 2 and $n$ .

Step-by-step explanation:

We are asked to determine the factors of the given expression $13m-2n$ .

We know that factor is a number or quantity such that when multiplied with another number or quantity produces a given number or expression.

Since 13 is a prime number, so the factors of $13m$ are 13 and $m$ .

Since 2 is a prime number, so the factors of $2n$ are 2 and $n$ .

the factors of 13m are 13 and m and it goes the same with 2n hope that helps.

What value of x will make this proportion true 3/29 =× /116?

Answers

3 / 29 = x / 116

29 x = 116 . 3

29 x = 348

x = 348 / 29

x = 12

hope this helps!

Simplify the given expression below: (4 + 2i) − (1 − 7i) 5 − 5i 5 + 9i 3 + 9i 3 − 5i

Answers

The best way to think of complex numbers is through x and y coordinates, if a number is just on its own (real) think of it as the x ordinate. Conversely if the number is say 2i (imaginary), just think of it as the y=2.
So 4+2i - (1-7i) = 4+2i-1+7i = (4-1) + i(2+7) = 3 +9i
That can be though of as (3,9). A complex number is just two separate real numbers, a real part and an imaginary part.

The value of the complex expression will be 3 + 9i. Then the correct option is C.