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2 years ago

13

Pls help and explain. I will give brainliest

1 answer:

scZoUnD [109]2 years ago

5 0

Answer:

4 2/3 hours

Step-by-step explanation:

There are 7 days in a week

2/3 of an hour per day * 7 days

2/3 *7 = 14/3 hours

Changing to a mixed number

4 2/3 hours

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In a group of eighteen people, each person shakes hands once with each other person in the group. How many handshakes will occur

miv72 [106K]

The number of handshakes that will occur in a group of eighteen people if each person shakes hands once with each other person in the group is 153 handshakes

In order to determine the number of handshakes that will occur among 18 people, that is, the number of ways we can choose 2 persons from 18 people.

∴ The number of handshakes = $^{18}C_{2}$

$^{18}C_{2} = \frac{18!}{(18-2)!2!}$

$^{18}C_{2} = \frac{18!}{16!2!}$

$^{18}C_{2} = \frac{18\times17\times16!}{16!\times2!}$

$^{18}C_{2} = \frac{18\times17}{2\times1}$

$^{18}C_{2} = \frac{306}{2}$

$^{18}C_{2} = 153$

∴ The number of handshakes = 153 handshakes

Hence. 153 handshakes will occur in a group of eighteen people if each person shakes hands once with each other person in the group.

Learn more here: brainly.com/question/1991469

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