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In how many ways can the letters of the expression x2y 2z4 be arranged when written without using exponents?

1 Answer

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Best answer

To find: number of ways the letters can be arranged 

The following table shows the possible arrangements

However, we see that case 1 = x2y2z2 is the same as case 4 = y2x2z2

Similarly (case2,case 5), (case 3,case 6) are the same 

So there are only 3 distinct cases 

Hence the letters can be arranged in 3 distinct ways

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