Arranging an APPLE

Probability Level 1

How many different ways can the five letters of 'APPLE' be arranged?

50 50 40 40 60 60 30 30

Kumar Gupta by Kumar Gupta , 23, India

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

5 solutions

Mayank Chaturvedi
Mar 17, 2014

no. of ways = no. of arrangements if both 'p's are different/(no. of same elements)factorial = (5 x 4 x 3 x 2 x 1) / (2 x 1) = 60

4 Helpful 0 Interesting 0 Brilliant 0 Confused

Why is it so?

A Former Brilliant Member - 2 years, 9 months ago
Ashish Menon
Jun 11, 2016

The answer is 5 ! 2 ! = 60 \dfrac{5!}{2!} = \color{#3D99F6}{\boxed{60}}

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Prajwal Kavad
Apr 15, 2014

The no. of ways arranging = (5 x 4 x 3 x 2 x 1) / (2 x 1) = 60

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Ali Raza
Mar 20, 2014

No. of ways 5.4.3.2.1/2=60

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Tootie Frootie
Mar 18, 2014

In general if you have n objects with r1 objects of one kind, r2 objects of another,...,and rk objects of the kth kind, they can be arranged in n!(r1!)(r2!)…(rk!)

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...