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Black_prince [1.1K]
3 years ago
11

30 pts + BRAINLIEST

Mathematics
2 answers:
ivanzaharov [21]3 years ago
8 0

Answer:

Number of permutations = 5040

Step-by-step explanation:

We are given the word 'INNOVATIVE', that has total 10 letters.

Now, we are asked to form words using exactly 4 letters at a time i.e. out of 10 letters we are using 4.

Therefore, the number of permutations that can be formed using 4 letters are = P(10,4)

i.e. 10_{P_{4} }

= \frac{10!}{(10-4)!}

= \frac{10!}{6!}

= \frac{10*9*8*7*6!}{6!}

= 10*9*8*7

= 5040

slavikrds [6]3 years ago
6 0

Answer: 5040

Step-by-step explanation:

npr = n! / (n - r)!

numbers of letters given = 10

permutation that can be formed using 4 letters at a time= 10 P ₄

=10! / (10 - 4)! = 10! / 6!

= 10 ×9 ×8×7 ×6! /6! ( the 6! will cancel out)

= 10×9 ×8×7=5040

Therefore, the number of permutations are 5040

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