Question

(a) An experiment involves 32 participants. From these, a group of 5 participants is to be tested under a special condition. How many groups of 5 participants are possible? (b) To log on to a certain computer account, the user must type in a 5-letter password. In such a password, no letter may be repeated, and only the lower case of a letter may be used. How many such 5-letter passwords are possible? (There are 26 letters in the alphabet.)

Name: a an experiment involves 32 participants from these a group of 5 participants is to be tested under a special condition how many groups of 5 participants are possible b to log on to a certai 78943
Uploaded: 2023-06-14T13:17:54-08:00
Duration: 2 min 7 s
Channel: Sri K
Description: a an experiment involves 32 participants from these a group of 5 participants is to be tested under a special condition how many groups of 5 participants are possible b to log on to a certai 78943

          (a) An experiment involves 32 participants. From these, a group of 5 participants is to be tested under a special condition. How many groups of 5 participants are possible?
(b) To log on to a certain computer account, the user must type in a 5-letter password. In such a password, no letter may be repeated, and only the lower case of a letter may be used. How many such 5-letter passwords are possible? (There are 26 letters in the alphabet.)

a an experiment involves 32 participants from these a group of 5 participants is to be tested under a special condition how many groups of 5 participants are possible b to log on to a certai 78943

Added by Travis M.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Sri K

06/14/2023

Step 1

Since the order of participants within a group does not matter, this is a combination problem. The formula for combinations is given by: $$C(n, k) = \frac{n!}{k!(n-k)!}$$ where $n$ is the total number of items to choose from, and $k$ is the number of items to Show more…

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(a) An experiment involves 32 participants. From these, a group of 5 participants is to be tested under a special condition. How many groups of 5 participants are possible? (b) To log on to a certain computer account, the user must type in a 5-letter password. In such a password, no letter may be repeated, and only the lower case of a letter may be used. How many such 5-letter passwords are possible? (There are 26 letters in the alphabet.)