Question

Date IT
031 In how many different ways,
the letters of the
word ALGEBRA can be arranged in
how if.
i the two A'S are together
Ciu the two NS are not together,
sholy​

Answer 1

Answer:

Algebra

has 7 letters

so it can be arranged in

7×6×5×4×3×2×1= 5040

Answer 2

ANSWER

Consider the problem

In the word ALGEBRA, there are three Vowels (A,AandE) and four Consonants (L,G,BandR)

We need to find the different arrangements of the word ALGEBRA such that relative positions of Vowels and Consonants do not change.

Therefore, in the three positions occupied by vowels, we can rearrange the vowels in

2!

3!

=3ways

And, four consonants can be rearranged in four spaces occupied by consonants in 4!ways=24ways

Therefore, required number of arrangements

=3×24=72