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Mathematics

Fundamental principle of counting

In this Class 11 Mathematics topic from Permutations and Combinations, students learn how to count the total number of possible outcomes when a task is completed in successive stages. The fundamental principle of counting explains that if one step can be performed in one way and the next in another, the combined task can be counted by multiplying the choices at each stage. Students apply this idea to arrangements, selections, decision-making situations, and introductory permutation problems.

Expert · Level 4 · 25 questions

TOPIC PRACTICE

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25 questions

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  1. (7 \times 6 \times 5 \times 4^3)
  2. (7^3 \times 4^3)
  3. (7 \times 6 \times 5 \times 4 \times 3 \times 2)
  4. (7^3+4^3)
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  1. (4 \times 3=12)
  2. (4 \times 3+3 \times 4=24)
  3. (7 \times 6=42)
  4. (4+3=7)
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  1. (5 \times 4 \times 3=60)
  2. (5 \times 4=20)
  3. (10 \times 3=30)
  4. (5^3=125)
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  1. (36 \times 10^3)
  2. (45 \times 10^3)
  3. (9 \times 8 \times 10^3)
  4. (9 \times 10^4)
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  1. (5+4+6+2=17)
  2. (5 \times 4 \times 6=120)
  3. (5 \times 4 \times 6 \times 2=240)
  4. (5 \times 4+6 \times 2=32)
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  1. (8 \times 7 \times 1 \times 7=392)
  2. (8 \times 7 \times 1 \times 6=336)
  3. (8^4=4096)
  4. (8 \times 7 \times 8 \times 7=3136)
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  1. (2 \times 6 \times 6=72)
  2. (3 \times 6 \times 6=108)
  3. (6 \times 6 \times 6=216)
  4. (2 \times 5 \times 4=40)
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  1. (2 \times 5 \times 4=40)
  2. (1 \times 5 \times 2+1 \times 5 \times 4=30)
  3. (5 \times 2=10)
  4. (2 \times 5 \times 2=20)
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  1. (9 \times 8 \times 7=504)
  2. (7 \times 8 \times 7=392)
  3. (7 \times 8 \times 9=504)
  4. (9 \times 8 \times 5=360)
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  1. (3^5-3^3=216)
  2. (3 \times 2 \times 3^3=162)
  3. (3^5=243)
  4. (2^5=32)
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  1. (9 \times 1 \times 10^4)
  2. (10 \times 1 \times 10^4)
  3. (9 \times 9 \times 10^4)
  4. (9 \times 10^5)
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  1. (3 \times 5 \times 4 \times 6=360)
  2. (1 \times 2 \times 4 \times 6+2 \times 5 \times 4 \times 6=288)
  3. (3 \times 2 \times 4 \times 6=144)
  4. (3 \times 7 \times 4 \times 6=504)
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  1. (10 \times 9 \times 8=720)
  2. (10^3=1000)
  3. (10+9+8=27)
  4. (10 \times 3=30)
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  1. (10 \times 9^3)
  2. (6 \times 8 \times 9^2)
  3. (10 \times 8 \times 9^2)
  4. (4 \times 9^3+6 \times 8 \times 9^2)
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  1. (6^3-6=210)
  2. (6 \times 5 \times 4=120)
  3. (6^3=216)
  4. (6 \times 5 \times 5=150)
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  1. (4 \times 5 \times 10^2=2000)
  2. (1 \times 3 \times 10^2+3 \times 5 \times 10^2=1800)
  3. (4 \times 3 \times 10^2=1200)
  4. (4 \times 8 \times 10^2=3200)
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  1. (6 \times 5 \times 4 \times 3=360)
  2. (6^4=1296)
  3. (4 \times 3 \times 2 \times 1=24)
  4. (6 \times 4=24)
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  1. (2^3 \times 4^3=512)
  2. (6^3=216)
  3. (2 \times 4 \times 3=24)
  4. (2^3+4^3=72)
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  1. (4 \times 3 \times 5 \times 4 \times 3=720)
  2. (3 \times 5 \times 4 \times 3=180)
  3. (4 \times 3 \times 5^3=1500)
  4. (3 \times 5^3=375)
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  1. (4^5-3^5=781)
  2. (5 \times 4^4=1280)
  3. (4^5=1024)
  4. (3^5=243)
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  1. (3 \times 2 \times 4^4=1536)
  2. (3^2 \times 4^4=2304)
  3. (3 \times 2 \times 4 \times 3 \times 2 \times 1=144)
  4. (3 \times 4^5=3072)
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  1. (18000)
  2. (20000)
  3. (9000)
  4. (36000)
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  1. (26^4\times90)
  2. (26^4\times81)
  3. (26^4\times100)
  4. (26^4\times72)
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  1. (32000)
  2. (34000)
  3. (30000)
  4. (36000)
View options
  1. (60)
  2. (64)
  3. (12)
  4. (19)

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