2 answers:
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*9*8*7
= 5040
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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