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in Complex number and Quadratic equations by (46.6k points)

Number of ways in which four letters of the word ‘DEGREE’ can be selected is

(A)  7 

(B)  6

(C)  6!/3i

(D) None 

1 Answer

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Best answer

Correct  option (A) 7

In ‘DEGREE’ we have three E’s and D, G, R.

Four letters can be selected in following ways:

(i) Three alike, one different letter 3C1 x 3C3

(ii) Two alike, two different letters 3C2

(iii) All different letters  3C3

(iv)  Total number of ways = 3C1 + 3C2 + 3C3 = 7

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