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8. Permutations
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Q5 of 140 Page 267

Write the following products in factorial notation:

(i) 6 × 7 × 8 × 9 × 10 × 11 × 12


(ii) 3 × 6 × 9 × 12 × 15


(i) Formula :


Let ,



Multiplying and dividing by



From the above formula,



Conclusion :



(ii) Formula :


Let ,



Above equation can be written as




By using above formula,



Conclusion :



More from this chapter

All 140 →
3

Prove that .

4

If , find the value of x.

6

Which of the following are true of false?

(i) (2 + 3) ! = 2 ! + 3!


(ii) (2 × 3)! = (2!) × (3!)


7

If (n + 1) ! = 12 × (n – 1) !, find the value of n.

Questions · 140
8. Permutations
1 2 3 4 5 6 7 8 9 10 11 12 13 14 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 1 1 1 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 2 3 4 5 6 7 1 2 3 4 5 6 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
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