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In Pisum sativum there are 14 Chromosome...

In Pisum sativum there are 14 Chromosomes. How many pairs with different chromosomal composition can be prepared

A

`2^(14)`

B

`2^(7)`

C

7

D

14

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The correct Answer is:
To solve the problem of how many pairs with different chromosomal compositions can be prepared from 14 chromosomes in Pisum sativum, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Chromosome Count**: - Pisum sativum (pea plant) has a total of 14 chromosomes. This means that there are 7 pairs of chromosomes since chromosomes are typically found in pairs. 2. **Identifying Chromosomal Pairs**: - Each pair consists of two homologous chromosomes. Therefore, with 14 chromosomes, we can denote them as pairs: (C1, C2), (C3, C4), (C5, C6), (C7, C8), (C9, C10), (C11, C12), (C13, C14). 3. **Calculating Different Compositions**: - Each pair of chromosomes can independently assort during gamete formation. This means that each pair can contribute either of its two chromosomes to a gamete. - For 7 pairs of chromosomes, each pair can be combined in two ways (either one chromosome from the pair or the other). 4. **Using the Formula for Combinations**: - The total number of different combinations of chromosomes can be calculated using the formula \(2^n\), where \(n\) is the number of pairs. - Here, \(n = 7\), so we calculate \(2^7\). 5. **Final Calculation**: - \(2^7 = 128\). Therefore, there are 128 different chromosomal compositions that can be formed from the 14 chromosomes in Pisum sativum. ### Conclusion: The number of pairs with different chromosomal compositions that can be prepared from the 14 chromosomes in Pisum sativum is **128**.
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