How much words.with or without meaning can be made from the letters of

1.	How much words.with or without meaning can be made from the letters of the word “MONDAY” assuming that no letter is repeated if (i) Four letters are used at a time (ii) All letters are used at a time (iii) All letters are used but first letter is vowel?
Answer» Monday: Given 6 letters ∴ number of arrangement =⁶P₆ = 6! (i) Taken 4 letters at a time = 6P₄ = 6!/2! = 6 × 5 × 4 × 3 = 360 ways (ii) all letters at a limt = 6P₆ = 6! = 720 ways. (iii) start with 0 ……… = 5P₅ = 120 Start with A ……… = 5P₅ = 120 240 ways.

How much words.with or without meaning can be made from the letters of the word “MONDAY” assuming that no letter is repeated if (i) Four letters are used at a time (ii) All letters are used at a time (iii) All letters are used but first letter is vowel?

Answer»

Monday: Given 6 letters

∴ number of arrangement =⁶P₆ = 6!

(i) Taken 4 letters at a time

= 6P₄ = 6!/2! = 6 × 5 × 4 × 3 = 360 ways

(ii) all letters at a limt = 6P₆ = 6! = 720 ways.

(iii) start with 0 ……… = 5P₅ = 120

Start with A ……… = 5P₅ = 120

240 ways.

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How much words.with or without meaning can be made from the letters of the word “MONDAY” assuming that no letter is repeated if (i) Four letters are used at a time (ii) All letters are used at a time (iii) All letters are used but first letter is vowel?

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