1.

3.(n + 3)P4 = 5.(n + 2)P4 हो, तो n का मूल्य ज्ञात करो ।

Answer»

3.(n + 3) (n + 3 – 1) (n + 3 – 2) (n + 3 – 3) = 5 (n + 2) (n + 2 – 1) (n + 2 – 2) (n + 2 – 3)

∴ 3 (n + 3) (n + 2) (n + 1) (n) = 5 (n + 2) (n + 1) (n) (n – 1)

∴ 3 (n + 3) = 5 (n – 1) (दो ओर समान मूल्य कट जायेंगे )

3n + 9 = 5n – 5 |

∴ 5n – 3n = 9 + 5

2n = 14

∴ n = \(\frac{14}2\)

n = 7



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