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MP Board Class 11th Maths Solutions Chapter 7 क्रमचय और संचयं Ex 7.2

MP Board Class 11th Maths Solutions Chapter 7 क्रमचय और संचयं Ex 7.2

प्रश्न 1.
मान निकालिए :
(i) 8!
(ii) 4! – 3!
हल:
(i) 8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40320.
(ii) 4! – 3! = 4 x 3 x 2 x 1 – 3 x 2 x 1
= 24 – 6 = 18.

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प्रश्न 2.
क्या 3! + 4! = 7!?
हल:
बायाँ पक्ष = 3! + 4!
= 3 x 2 x 1 + 4 x 3 x 2 x 1
= 6 + 24 = 30
दायाँ पक्ष = 7! = 7 x 6 x 5 x 4 x 3 x 2 x 1
= 5040
अतः 3! + 4! ≠ 7!.

प्रश्न 3.
\(\frac{8 !}{6 ! \times 2 !}\) का परिकलन कीजिए ।
हल:
MP Board Class 11th Maths Solutions Chapter 7 क्रमचय और संचयं Ex 7.2 1

प्रश्न 4.
यदि \(\frac{1}{6 !}+\frac{1}{7 !}=\frac{x}{8 !}\), तो x का मान ज्ञात कीजिए ।
हल:
\(\frac{x}{8 !}=\frac{1}{6 !}+\frac{1}{7 !}\)
MP Board Class 11th Maths Solutions Chapter 7 क्रमचय और संचयं Ex 7.2 2

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प्रश्न 5.
\(\frac{n !}{(n-r) !}\) का मान निकालिए जबकि
(i) n = 6, r = 2
(ii) n = 9, r = 5
हल:
MP Board Class 11th Maths Solutions Chapter 7 क्रमचय और संचयं Ex 7.2 3

MP Board Class 11th Maths Solutions

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