In how many different ways can you arrange the letters of the word COMPUTER taking 4 at a time?

Answer 1

Number of different ways#=1680#

Let #n=8# and #r=4# Use permutation formula #nPr=(n!)/(n-r)!#
#8P4=(8!)/((8-4)!)=(8*7*6*5*4!)/(4!)=(8*7*6*5*cancel4!)/(cancel4!)#
#8P4=(8*7*6*5)#
#8P4=1680#

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Answer 2

To find the number of different ways to arrange the letters of the word COMPUTER taking 4 at a time:

  1. Compute the total number of letters in the word COMPUTER, which is 8.

  2. Use the formula for permutations: ( P(n, r) = \frac{{n!}}{{(n - r)!}} ), where ( n ) is the total number of items and ( r ) is the number of items taken at a time.

  3. Substitute ( n = 8 ) (total letters) and ( r = 4 ) (letters taken at a time) into the formula.

  4. Calculate: ( P(8, 4) = \frac{{8!}}{{(8 - 4)!}} )

  5. Simplify the expression to find the number of arrangements of 4 letters from the word COMPUTER.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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