Solution :-
(a) :-
Given word: TUBA
Here we need to find out the number of ways are there to pick a sequence of two different letters of the alphabet that appear in the word TUBA.
Now consider, the number of possible combinations of 2 letters of word TUBA of 4 letters is
Now consider, For every possible combinations, there are 2 ways to pick a sequence, i.e, take two letters T and U, so the possible sequences are ( T, U ) and ( U,T ).
Hence, the number of ways are there to pick a sequence of two different letters is
Number of ways =
=
=
=
=
=
=
= 12
The number of ways are there to pick a sequence of two different letters is 12
(b) :-
Given word: BASSOON
Here we need to find out the number of ways are there to pick a sequence of two different letters of the alphabet that appear in the word BASSOON.
The word BASSOON composition of B 1, A 1, S 2 , O 2, N 1, so that there are 5 different letters. they are B, A, S, O, N .
Now consider, the number of possible combinations of 2 letters of word BASSOON of 5 letters is
Now consider, For every possible combinations, there are 2 ways to pick a sequence, i.e, take two letters B and A, so the possible sequences are ( B, A ) and ( A,B ).
Hence, the number of ways are there to pick a sequence of two different letters is
Number of ways =
=
=
=
=
=
=
= 20
The number of ways are there to pick a sequence of two different letters is 20.
(a) How many ways are there to pick a sequence of two different letters of the...
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