Score 90+ in FBISE Class 11 Math Unit 6 – key answers only!
HSA Notes Features
- 100% NBF/FBISE correct
- Ex 6.1–6.3 + Review solved
- Short exam-ready format
- Factorial, P(n,r), C(n,r)
- Circular, restricted permutations
- Free PDF download
- Trusted for high marks
Target Audience
FBISE + Punjab boards. Top schools: Beaconhouse, Roots, LGS, City School, Karachi Grammar, Aitchison, Lawrence, ICG, APS, FPS.
Unit 6 Key Solved Highlights
Ex 6.1 (Factorial)
Q1(i) 10! = 3628800
Q1(ii) 7920
Q1(iii) 11/63
Q1(iv) n−1
Q1(v) 56/720 = 7/90
Q2(i) 14!/10!
Q2(ii) 9!/(2⁴·4!)
Q5(i) n=6
Q5(ii) n=6
Q7(i) n=31
Q7(ii) n=8
Q7(iii) n=3
Q7(iv) n=10
Ex 6.2 (Permutations)
Q3(i) r=4
Q3(ii) r=5
Q3(iii) r=2
Q3(iv) r=8
Q3(v) r=2
Q3(vi) r=3
Q4 60 three-digit even numbers
Q5 60480 seven-digit mobile numbers
Q7 144 round table (no two women adjacent)
Q8 1260 flag signals
Q10 120 words ending with F
Q12 12 vowel-odd arrangements
Q13 4320 vowels not together
Q19 30240 three together
Q20 86400 alternate round table
Ex 6.3 (Combinations)
Q2(i) n=13
Q2(ii) n=22
Q2(iii) n=51
Q2(iv) n=6
Q2(v) n=14
Q3(i) r=3
Q3(ii) r=3 or 5
Q3(iii) r=6
Q3(iv) r=5
Q4(i) n=9, r=5
Q4(iii) n=10, r=5
Q5(i) 524160
Q5(ii) 3003
Q6 55
Q7(i) 120
Q7(ii) 186
Q8 120 triangles
Q9 n(n−3)/2 diagonals
Q10 120
Q11 n=10
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