Name Paul Enmanuel G Beñosa Grade 7 Daffodil MATH Identify the elements subsets and cardinality of the given set below. & mango, banana, guyabano, avocado Zero dement One clement Two elements Three dements Four elements Total: List No. of subsets
The given set is {mango, banana, guyabano, avocado}.
**Elements**: The elements in the set are mango, banana, guyabano, and avocado.
**Subsets**: To find the subsets, we can use the concept of the power set, which includes all possible subsets (including the empty set and the set itself). Here are the subsets:
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Answer:
The given set is {mango, banana, guyabano, avocado}.
**Elements**: The elements in the set are mango, banana, guyabano, and avocado.
**Subsets**: To find the subsets, we can use the concept of the power set, which includes all possible subsets (including the empty set and the set itself). Here are the subsets:
1. Empty set: {}
2. Individual elements: {mango}, {banana}, {guyabano}, {avocado}
3. Pairs: {mango, banana}, {mango, guyabano}, {mango, avocado}, {banana, guyabano}, {banana, avocado}, {guyabano, avocado}
4. Triplets: {mango, banana, guyabano}, {mango, banana, avocado}, {mango, guyabano, avocado}, {banana, guyabano, avocado}
5. Full set: {mango, banana, guyabano, avocado}
**Cardinality**:
- Zero elements: 0 subsets
- One element: 4 subsets ({mango}, {banana}, {guyabano}, {avocado})
- Two elements: 6 subsets
- Three elements: 4 subsets
- Four elements: 1 subset (the full set)
**Total Number of Subsets**:
The total number of subsets is the sum of subsets for each cardinality:
0 + 4 + 6 + 4 + 1 = 15 subsets in total.