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Find the number of arranging 11 distinct objects taken 4 at a time so that a specified object never occurs. - Mathematics and Statistics

Sum

Find the number of arranging 11 distinct objects taken 4 at a time so that a specified object never occurs.

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Solution

There are 11 distinct objects and 4 objects are arranged at a time.
When one specified object does not occur than 4 things are to be arranged from the remaining 10 things, which can be done in 10P4 ways
= 10 × 9 × 8 × 7 ways
= 5040 ways
∴ There are 5040 permutations of 11 distinct objects, taken 4 at a time, in which one specified object never occurs.

Concept: Concept of Permutations - Permutations When All Objects Are Distinct
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APPEARS IN

Balbharati Mathematics and Statistics 2 (Commerce) 11th Standard HSC Maharashtra State Board
Chapter 6 Permutations and Combinations
Exercise 6.3 | Q 15. (ii) | Page 81
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