Prove that from the letters of the sentence, ‘Daddy did a deadly dee

1.	Prove that from the letters of the sentence, ‘Daddy did a deadly deed’, one or more letters can be selected in 1919 ways.
Answer» In the given sentence, there are 9 d’s ; 3 a’s ; 3 e‘s ; 2 y’s ; 1 i; and 1 l. ∴ The total number of selections = (9 + 1) (3 + 1) (3 + 1) (2 + 1) (1 + 1) (1 + 1) – 1 = 10 × 4 × 4 × 3 × 2 × 2 – 1 = 1919.

Prove that from the letters of the sentence, ‘Daddy did a deadly deed’, one or more letters can be selected in 1919 ways.

Answer»

In the given sentence, there are 9 d’s ; 3 a’s ; 3 e‘s ; 2 y’s ; 1 i; and 1 l.

∴ The total number of selections = (9 + 1) (3 + 1) (3 + 1) (2 + 1) (1 + 1) (1 + 1) – 1

= 10 × 4 × 4 × 3 × 2 × 2 – 1 = 1919.