Question

If you have 6 New Year greeting cards and you want to send them to 4 of your friends, in how many ways can this be done?
A) 720 B) 360
C) 240 D) 740

Answer 1

Answer:

Step-by-step explanation:

Concept:

We concept of permutation and combination will be used to solve this question.

A permutation is a systematic grouping of the things or numbers. Combinations allow you to select things or numbers from a collection or set of items without taking into account their order in time.

Given:

The number of new year greeting cards are $6$ and i will send them to $4$ to my friends.

To Find:

We have to find out the number of ways that can be done.

Solution:

The number of cards are $6$ and the number of friends are $4$ .

The permutation of arranging 'r' objects from a set of 'n' objects into an order or sequence is known as nPr in mathematics. Permutation is calculated using the formula ${ }^{n} P_{r} = (n!) / (n-r)!$ Combination, also known as nCr, is the process of choosing r objects from a group of n objects so that the order of the objects is irrelevant.

Put the value in the above formul.

${ }^{6} P_{4}=360$.

The number of ways is $360$ .

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