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Q.1 7. $(n + 1)! = 120$ હોય, તો $n$ ની કિંમત જણાવો.

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Q.2 4. ક્રમચય અને સંચયના પ્રચલિત સંકેતો અનુસાર નીચેનામાંથી કયો સંબંધ સાચો છે ?

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Q.3 9. $10 \times n! = 240$ હોય, તો $n$ ની કિંમત શોધો.

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Q.4 2. જો પ્રથમ ક્રિયા m પ્રકારે થઈ શકતી હોય અને બીજી ક્રિયા n પ્રકારે થઈ શકતી હોય તેમજ બંને ક્રિયાઓ સંયુક્ત રીતે કરવાની હોય, તો બંને ક્રિયાઓ સાથે થવાના કુલ પ્રકારે કેટલા થાય ?

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Q.5 3. $n!$ એટલે શું ?

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Q.6 6. $^nC_0 + ^nC_n$ ની કિંમત શોધો.

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Q.7 10. $(x + a)^n$ ના વિસ્તરણનું અંતિમ (છેલ્લું) પદ જણાવો.

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Q.8 11. એક ટ્રેનના ડબ્બામાં 3 વ્યક્તિઓને બેસવા માટે 8 ખુરશીઓ છે. તેઓ આ ખુરશીઓ પર કેટલી રીતે બેસી શકે ?

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Q.9 1. જો કોઈ એક સમૂહમાં m ભિન્ન વસ્તુઓ અને બીજા સમૂહમાં n ભિન્ન વસ્તુઓ હોય, તો બંને સમૂહોમાંથી કોઈપણ એક વસ્તુની પસંદગી કેટલા પ્રકારે થઈ શકે ?

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Q.10 5. $^nC_r$ ની કિંમત નીચે પૈકી કોની બરાબર હોય છે ?