Multiple choice

The number of ways in which four different letters can be selected from the word $DEGREE$

  1. $^6C_4$
  2. $1$
  3. $6!$
  4. $7!$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The word DEGREE has letters D, E, E, E, G, R. To select 4 different letters, we must pick D, E, G, R. There is only 1 way to select these 4 distinct letters.

AI explanation

The word DEGREE consists of 6 letters where E is repeated 3 times, and D, G, R appear once. The question asks to select 4 different letters, but there are only 4 unique letters available in the word (D, E, G, R). By the basic definition of combinations, the number of ways to select all 4 unique items from a set of exactly 4 unique items is 4C4 = 1. Therefore, there is only 1 way to make this selection.

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