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P&C worksheet class 11 (i)
1.
PERMUTATION & COMBINATION
WORKSHEET (I) STHITPRAGYA SCIENCE CLASSES, GANDHIDHAM ADVANCED MATHEMATICS FOR JEE | BITSAT | GUJCET | OLYMPIADS | IX, X, XI, XII, XII + MISHAL CHAUHAN (M.Tech, IIT Delhi) Address 1: Near Gayatri Mandir, Opp. PGVCL Office, Shaktinagar Address 2: Sec-5, G.H.B, Gandhidham Contact: 9879639888 Email:sthitpragyaclasses@gmail.com Q. 1 Q. 2 Q. 3 Q. 4 Q. 5
2.
PERMUTATION & COMBINATION
WORKSHEET (I) STHITPRAGYA SCIENCE CLASSES, GANDHIDHAM ADVANCED MATHEMATICS FOR JEE | BITSAT | GUJCET | OLYMPIADS | IX, X, XI, XII, XII + MISHAL CHAUHAN (M.Tech, IIT Delhi) Address 1: Near Gayatri Mandir, Opp. PGVCL Office, Shaktinagar Address 2: Sec-5, G.H.B, Gandhidham Contact: 9879639888 Email:sthitpragyaclasses@gmail.com Q. 6 Q. 7 Q. 8 Q. 9 Q. 10 Q. 11
3.
PERMUTATION & COMBINATION
WORKSHEET (I) STHITPRAGYA SCIENCE CLASSES, GANDHIDHAM ADVANCED MATHEMATICS FOR JEE | BITSAT | GUJCET | OLYMPIADS | IX, X, XI, XII, XII + MISHAL CHAUHAN (M.Tech, IIT Delhi) Address 1: Near Gayatri Mandir, Opp. PGVCL Office, Shaktinagar Address 2: Sec-5, G.H.B, Gandhidham Contact: 9879639888 Email:sthitpragyaclasses@gmail.com Q. 12 Q. 13 Q. 14 Q. 15 Q. 16 Q. 17 A total of 6 boys and6 girlsare to sitina row (boyin the firstplace) alternativelyandina circle alternatively.Letmbe the numberof arrangementsina row and n the numberof arrangementsina circle.If m = Kn,thenthe value of K is (A) 10 (B) 11 (C) 12 (D) 13
4.
PERMUTATION & COMBINATION
WORKSHEET (I) STHITPRAGYA SCIENCE CLASSES, GANDHIDHAM ADVANCED MATHEMATICS FOR JEE | BITSAT | GUJCET | OLYMPIADS | IX, X, XI, XII, XII + MISHAL CHAUHAN (M.Tech, IIT Delhi) Address 1: Near Gayatri Mandir, Opp. PGVCL Office, Shaktinagar Address 2: Sec-5, G.H.B, Gandhidham Contact: 9879639888 Email:sthitpragyaclasses@gmail.com Q. 18 Q. 19 Q. 20 Q. 21 Q. 22 Q. 23 A personwritesletterstosix friendsandaddresses the correspondingenvelopes.Inhow many wayscan the lettersbe placedinthe envelopessothat (a) Atleasttwo of themare inthe wrong envelopes? (b) All the lettersare inthe wrong envelopes?
5.
PERMUTATION & COMBINATION
WORKSHEET (I) STHITPRAGYA SCIENCE CLASSES, GANDHIDHAM ADVANCED MATHEMATICS FOR JEE | BITSAT | GUJCET | OLYMPIADS | IX, X, XI, XII, XII + MISHAL CHAUHAN (M.Tech, IIT Delhi) Address 1: Near Gayatri Mandir, Opp. PGVCL Office, Shaktinagar Address 2: Sec-5, G.H.B, Gandhidham Contact: 9879639888 Email:sthitpragyaclasses@gmail.com Q. 24 Q. 25 Q. 26 Q. 27 Q. 28
6.
PERMUTATION & COMBINATION
WORKSHEET (I) STHITPRAGYA SCIENCE CLASSES, GANDHIDHAM ADVANCED MATHEMATICS FOR JEE | BITSAT | GUJCET | OLYMPIADS | IX, X, XI, XII, XII + MISHAL CHAUHAN (M.Tech, IIT Delhi) Address 1: Near Gayatri Mandir, Opp. PGVCL Office, Shaktinagar Address 2: Sec-5, G.H.B, Gandhidham Contact: 9879639888 Email:sthitpragyaclasses@gmail.com Q. 29 Q. 30 Q. 31 Q. 32 Q. 33
7.
PERMUTATION & COMBINATION
WORKSHEET (I) STHITPRAGYA SCIENCE CLASSES, GANDHIDHAM ADVANCED MATHEMATICS FOR JEE | BITSAT | GUJCET | OLYMPIADS | IX, X, XI, XII, XII + MISHAL CHAUHAN (M.Tech, IIT Delhi) Address 1: Near Gayatri Mandir, Opp. PGVCL Office, Shaktinagar Address 2: Sec-5, G.H.B, Gandhidham Contact: 9879639888 Email:sthitpragyaclasses@gmail.com Q. 34