Question

in how many ways can 5 different colored marbles be arranged in a row
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Answer 1

Answer:

= 60 different arrangements. Then we come to the 3-1-1 and 2-2-1 combinations. For the 3-1-1 combination, in pocket one we can have any three of the five distinct marbles.

Answer 2

Concept:

A permutation is the total number of possible rearrangements of elements in any order.

The number of ways in which n distinct elements can be rearranged is n!

Given

Number of distinct marbles = 5

Find

The number of ways it can be rearranged.

Solution

The number of ways in which n distinct elements can be rearranged is n!

Number of ways in which 5 distinct marbles can be rearranged = 5!

                                                                                                          = 120

Hence, the total number of ways in which the marbles can be arranged is 120.