Question

How many words can be formed by taking 4 letter at a time from moradabad?

Answer 1

Answer:

The number of words can be formed by taking 4 letter at a time from moradabad  = 252

Step-by-step explanation:

The given word 'moradabad'

There are 9 letters in this word

m o r a d a b a d

The number of words can be formed by taking 4 letter at a time from moradabad = 9P4 = 9!/(9 -4 )! = 9!/5!

The letter a is repeated 3 times

and d is repeated 2 times

Therefore  number of words can be formed by taking 4 letter at a time from moradabad  = 9!/(5!2!3!)

The number of words = 252

Answer 2

Answer:

15120

Step-by-step explanation:

Total letters in moradabad = 9

to form words of letters = 4

so the way we can do is 9P4

SO total number of words = 9P4

bu given law of counting we know that

nPr = $\frac{n!}{(n-r)!}$

putting the values

total words = $\frac{9!}{(9-5)!}$

                   = $\frac{9!}{(4)!}$

As n! =n (n-1) (n-2)(n-3).......... (1)

so

total words = $\frac{9(8)(7)(6)(5).4!}{(4)!}$

4 ! cancels out

so total words = 9(8)(7)(6)(5)

                        =15120