Using the letters in the word innovative, find the number of permutations that can be formed using 4 letters at a time. show your work or explain how you got your answer. the gym has 11 different types of machines in the weight room. geoff has time to use only 3 of them this afternoon. how many different combinations of machines can geoff choose from to use? show your work or explain how you got your answer

 1) 5040 and 2) 165

Step-by-step explanation:

1) Here total number of letters = 10

The number of permutations that can be formed using 4 letters at a time

= P (10, 4)

=

=

=  

=

= 10 × 9 × 8 × 7

= 5040

2) Here the total number of machine = 11

The different combinations of machines can Geoff choose from to use

=

=

=

=

= 11 × 5 × 3

= 165

i believe the correct answer is b.

i believe the answer is 323 ft

step-by-step explanation: