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Georgia [21]
3 years ago
7

Using the letters in the word INNOVATIVE, find the number of permutations that can be formed using 4 letters at a time. Show you

r 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
Mathematics
1 answer:
lyudmila [28]3 years ago
5 0

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_P_4

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

=  \frac{10!}{6!}

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

= 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_C_3

= \frac{11!}{(11-3)!3!}

= \frac{11!}{8!3!}

= \frac{11\times 10\times 9\times 8!}{8!\times 6}

= 11 × 5 × 3

= 165

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3 years ago
Please help ASAP for question b
zlopas [31]

Answer: The height of the new player is 210 cm

Step-by-step explanation: The previous mean of the entire team has been calculated as 200.3

What this means is that, we have a summation of the observed data and a summation of the frequency of data.

The mean was calculated as

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Where Sum FX is 2604 and Sum F is 13

However, our calculation should now read thus,

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Remember that a new member has joined the team so our Sum F is now 14 and we can now express it as thus

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If the summation of the observed data after adding a new team member is now 2814, then the addition to the previous observed data would be

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So the height of the new member added to the team is 210 cm.

6 0
3 years ago
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I hope this helps you :)

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Step-by-step explanation:

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