SOLUTION: find the number of ways in which an arrangement of of 4 letters can be made from the word MATHEMATICS a)1680 b)756 c)18 d)2454

Question 333411: find the number of ways in which an arrangement of of 4 letters can be made from the word MATHEMATICS
a)1680
b)756
c)18
d)2454
Answer by jrfrunner(365) (Show Source): You can put this solution on YOUR website!
while the word MATHEMATICS has 11 words, there are really only 8 unique words
M, A and T are duplicated.
---
So, your problem becomes number of arrangements of 4 letters from a word of 8 unique letters
---
there are 8 choices for the first word
there are then 7 choices for the second word
after that there are 6 choices for the third word
and finally there are 5 choices for the fourth word
8*7*6*5=1680
RELATED QUESTIONS
(a) In how many different ways can the letters in the word ARRANGEMENTS be arranged?... (answered by math_helper,ikleyn)

The number of ways in which we can arrange 4 letters of the word mathematics is given by (answered by jim_thompson5910)

find the number of arrangement of the letters of the word CERTIFICATE which begins with... (answered by Edwin McCravy)

how many distinct permutations can be made from the letters of the word "mathematics". (answered by Theo)

Put down all the arrangement of 4 of 5 letters a,b,c,d,e which can be made with a... (answered by rakhileshnaidu)

Consider the letters of the word "TOMORROW". find the number of ways in which four... (answered by Edwin McCravy,ikleyn)

(a) in how many ways can the letters of the word be arranged in a line? (b) In how many... (answered by greenestamps,math_tutor2020)

how many different arrangements can be made from the letters of the word purchase if each (answered by stanbon)

find number of combinations that can be made by taking 4 letters of the word... (answered by Edwin McCravy)