Answer:
a. 24ways
b.256ways
Step-by-step explanation:
the letters IOWA contains for letters, since we are to arrange without repeating any letter, we permutate the letters.
For permutation of n object in r ways is expressed as
P(n,r)=n!/(n-r)!
hence for n=4 and r=4, we have P(4,4)=4!/(4-4)!
P(4,4)=4!/(0)!
P(4,4)=4*3*2*1=24ways
b. To arrange the letters such that each letter can be repeated, we can arrange the letter I in four ways, letter O can be arrange in four ways, letter W can be arranged in four ways and letter A can be arranged in four ways ..
Hence we arrive at
4*4*4*4=256ways
