A new math club has formed and has 25 members. how many ways can the group elect a president, vice president, and treasurer if no person can have two roles?

Answers

Answer 1

The definition of a member is a part of a group, system, or whole. An example of a member is the drummer in a band. An example of a member is the toe on a foot.

(a)13, 800

(6)32, 768

(c)630, 630

SOLUTION-

(a) Ways to choose a president, vice president and treasurer= NPR = 25! (25 – 3)!  = 25! (22)!  = 25×24×23 = 13,800

(b) The 7-digit string contains exactly 2 or eight's.

Hence giving other digits' positions, any digit other than 8 can exist. Hence 8 possibilities exist for 5 positions.

= 8^5 =32,768

(c) FORMULA -

= \frac{(total geraniums)!}{(red)!(white)!(pink)!}

= \frac{(15!)}{(4!)(6!)(5!)}

 = 630, 630

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Related Questions

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The history of software and its development can be traced back to the early nineteenth century. All computer systems are designed to use the stored program concept first developed by Charles Babbage in the 1850s. This concept was lost until the mid-1940s with the advent of modern computers. System software is a type of computer program designed to run computer hardware and application programs. If we think of a computer system as a layered model, the system software is the interface between the hardware and user applications.

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