Question
Download Solution PDFThe number of ways of arrangements of 10 persons in four chairs is -
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The number of ways of arrangements of 10 persons in four chairs
Formula used:
nPr = n!/(n – r)!
Where, n = Number of persons
r = Number of chairs
Calculation:
According to the question
nPr = n!/(n – r)!
⇒ 10!/(10 – 4)!
⇒ 10!/6!
⇒ (10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1)/(6 × 5 × 4 × 3 × 2 × 1)
⇒ (10 × 9 × 8 × 7)
⇒ 5040
∴ The required value is 5040
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