Arrangement with repetitions

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Arrangement with repetitions:

If x items out of n items are repeated, then the number of ways of arranging these n items is $$\dfrac{n!}{x!}$$ ways.

If x items, y items and z items are repeated within n items, they can be arranged in $$\dfrac{n!}{x!y!z!}$$ ways.

Formula Video


Question 1

In how many ways can the letters of the word PERSPECTIVE be arranged?

Question 2

The number of 9 digit numbers whose sum of digits is 3 is?

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Arrangement with repetitions

2

questions from CAT exam over the past 5 years

Formulas Asked Together in Previous Papers


Basic Counting

1 PYQ

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