![]() ![]() The number of students who will be awarded = 3. Find the number of ways in which the awarding can be done. Since the arrangement matters in the formation of the words, we apply the npr formula to find the required number of 3 letter words.Īnswer: The required number of 3 letter words = 24.Įxample 3: 8 students have participated in a running race competition and the top three students will be awarded the first, second, and third prizes. The number of letters of each of the required words is r = 3. The number of letters of the word MATH is n = 4. Substitute n = 10 and r = 4 on both sides,Įxample 2: Find the number of 3 letter words that can be formed by rearranging the letters of the word MATH? Let us see the applications of the nPr formula in the section below. Math will no longer be a tough subject, especially when you understand the concepts through visualizations with Cuemath. Multiplying and dividing the above expression by (n - r). To simplify this, we use factorial notations. While choosing the r th object, there are only (n - r + 1) objects are left and hence it can be chosen in (n - r + 1) ways.īy the fundamental counting principle, the number of ways ( nPr) of selecting and arranging r different objects from n different objects is,. ![]()
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