Find the ways to choose a president and a secretary, Mathematics

Assignment Help:

Q. There are 10 students on the school debating team. How many different ways can the team choose a president and a secretary?

Ans.

There are 10 choices for the president because every student on the team might be chosen for this position. Once the president is chosen, there are 9 students to choose from for the Secretary.

1462_Find the ways to choose a president and a secretary.gif

We can word this as: There are 10 choices for President AND 9 choices for Secretary. So, there are ways for the team to pick their President and Secretary. In this example there were 2 students chosen from 10.

In general, if r objects are chosen from n, then the number of possible permutations, denoted nPr, is

50_Find the ways to choose a president and a secretary1.png

This formula can be written in terms of factorials. Consider a permutation of six objects out of 10. There are 10 ways to choose the first object, 9 ways to choose the second, and so on until all six objects have been selected.

2107_Find the ways to choose a president and a secretary2.gif

In general,

1113_Find the ways to choose a president and a secretary3.gif


Related Discussions:- Find the ways to choose a president and a secretary

What are logarithmic function, The logarithm of a provided number b to the ...

The logarithm of a provided number b to the base 'a' is the exponent showing the power to which the base 'a' have to be raised to get the number b. This number is defined as log a

AREA, How do you find the distributive property any faster?

How do you find the distributive property any faster?

Partial derivatives, So far we have considered differentiation of functions...

So far we have considered differentiation of functions of one independent variable. In many situations, we come across functions with more than one independent variable

Prove that its inclination theta to the horizontal, Two stations due south ...

Two stations due south of a tower, which leans towards north are at distances 'a' and 'b' from its foot. If α and β be the elevations of the top of the tower from the situation, Pr

Determine the length of the rectangle, The height of a rectangle is 20 cm. ...

The height of a rectangle is 20 cm. The diagonal is 8 cm more than the length. Determine the length of the rectangle. a. 20 b. 23 c. 22 d. 21 d. To determine the len

Which team should get the ball at the beginning, Why is tossing a coin cons...

Why is tossing a coin considered to be a fair way of deciding which team should get the ball at the beginning of a foot ball match? Ans: equally likely because they are mutual

Limits-of-sum, limit 0 to 2(3x^2+2) Solution) integrate 3x^2 to x^3 and...

limit 0 to 2(3x^2+2) Solution) integrate 3x^2 to x^3 and 2 to 2x and apply the limit from 0 to 2 answer is 12.

Parallelogram, The base and corresponding altitude of a parallelogram are 1...

The base and corresponding altitude of a parallelogram are 10 cm and 12 cm reap. If the other altitude is 8 cm , find the length of the other pair of parallel side

Find quadratic equation using the quadratic formula, Find quadratic equatio...

Find quadratic equation using the Quadratic Formula: Solve the subsequent quadratic equation using the Quadratic Formula. 4x 2 + 2 = x 2 - 7x: Solution: Step 1.

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd