How many 2-letter combinations can be created from the distinct letters in the word “mathematician”? assume that the order of the letters does not matter.

The total number of 2-letter combinations can be created from the distinct letters in the word mathematician=28.

Step-by-step explanation:

We are given that a word "mathematician".

We have to find the number of  2-letter combinations can be created from the distinct letters in the given word.

We have total letters in the word mathematician =13

Total number of distinct letter in the word mathematician =m,a,t,h,e,i,c,n=8

We have find the total number of combination of 2 letters out of 8 distinct letter by using combination formula

Combination formula:

We have n=8 and r=2

Therefore , total number of combination from 2 -letters out of 8 letters=

The total number of combinations from 2-letters out of 8 distinct letters =

The total number of combinations from 2 -letters out of 8 distinct letters=.

Hence, the number of 2-letters combinations  can be created from distinct letters in the word mathematician =28.

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