0

HETAV PATEL

Grade 11,

Courses New

The number of all possible arrangements of the letters of the word’MATHEMATICS’taken four at time is?

The number of all possible arrangements of the letters of the word’MATHEMATICS’taken four at time is?

Grade:

1 Answers

Ravi
askIITians Faculty 69 Points
9 years ago
You can assume as if you have 4 void spaces to be filled with the letters of the word ‘MATHEMATICS’. In all you have how many distinct letters has to be calculated first.

M=2
A=2
T=2
H=1
E=1
I=1
C=1
S=1 are all the letters with which the word has been formed. Hence, for filling the void spaces,
Starting with the first blank, you have
11 choices, for first blank
10 for second
9for 3rd
and 8 for 4th .
But as there are repeatations in the arrangements as some letters are repaeated in the word itself. So dividing the number of arr. by the number of repeatations for letters appearing more than once i.e. (2.2.2)

And obtain the answer for the case when each letter has to be used just once

Think You Can Provide A Better Answer ?

Other Related Questions on 10 grade maths

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More