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The number of ways in which an arrangement of 4 letters of the word ‘PROPORTION’ can be made is :
- a)700
- b)750
- c)800
- d)758
Correct answer is option 'D'. Can you explain this answer?
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"NUMBER" can be made is given by the formula for permutations of a set with repetition:
P(n, r) = n! / (n1! * n2! * ... * nr!)
where n is the total number of objects (in this case, 6) and r is the number of objects being arranged (in this case, 4). n1, n2, etc. represent the number of times each object is repeated (in this case, 2 "N" and 2 "E").
Using this formula, we can calculate the number of ways to arrange the letters:
P(6, 4) = 6! / (2! * 2!) = 720 / (2 * 2) = 180
Therefore, there are 180 ways to arrange 4 letters of the word "NUMBER".
P(n, r) = n! / (n1! * n2! * ... * nr!)
where n is the total number of objects (in this case, 6) and r is the number of objects being arranged (in this case, 4). n1, n2, etc. represent the number of times each object is repeated (in this case, 2 "N" and 2 "E").
Using this formula, we can calculate the number of ways to arrange the letters:
P(6, 4) = 6! / (2! * 2!) = 720 / (2 * 2) = 180
Therefore, there are 180 ways to arrange 4 letters of the word "NUMBER".
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The number of ways in which an arrangement of 4 letters of the word ‘PROPORTION’ can be made is :a)700 b)750c)800 d)758Correct answer is option 'D'. Can you explain this answer?
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