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In a class of 10 learners, 7 like Nshina and 6 like both Nshina and Rice. How many learners like only Nshina?

Mathematics

ScanSolve AI Answer

Let NN be the set of learners who like Nshina.
Let RR be the set of learners who like Rice.
Let UU be the universal set of all learners.

Given information:

  • Total number of learners, ∣U∣=10|U| = 10.
  • Number of learners who like Nshina, ∣N∣=7|N| = 7.
  • Number of learners who like both Nshina and Rice, ∣N∩R∣=6|N \cap R| = 6.

Step 1: Calculate the number of learners who like only Nshina.
The number of learners who like Nshina includes those who like Nshina only and those who like both Nshina and Rice.

∣N only∣=∣N∣−∣N∩R∣|N \text{ only}| = |N| - |N \cap R| ∣N only∣=7−6|N \text{ only}| = 7 - 6 ∣N only∣=1|N \text{ only}| = 1

Since the question is incomplete ("How many..."), we can only definitively calculate the number of learners who like only Nshina with the given information. Other quantities, such as the number of learners

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