a 32 b 20 find the cardinality of the following pa x b and pa x b 74214

Name: a 32 b 20 find the cardinality of the following pa x b and pa x b 74214
Uploaded: 2022-07-30T05:57:58-08:00
Duration: 5 min 5 s
Channel: Kumareshwaran Rathinasabapathy
Description: a 32 b 20 find the cardinality of the following pa x b and pa x b 74214

To find the cardinality of ( P(A) times B ) and ( P(A times B) ), we will follow these ste

A 32 b 20 find the cardinality of the following pa x b and...

Transcript

00:01 We now determine the number of elements in a cross p, p cross c and then a cross p cross c.

00:08 And for that, we are going to use this formula.

00:10 Suppose if you consider the set p, which has m elements, then set q, which has n elements, then the number of elements in p cross q and this equals m times n.

00:24 So we use this formula to determine the number of elements in p cross q or a1.

00:31 Cross b and so here we observe that a has number of elements two and b has a number of elements two and c also has a number of elements two and therefore the number of elements in a cross b we use this formula it is two times two and this equals four so the number of elements in a cross b equals 4 and similarly we use the formula to determine the number of elements in b cross c p has two elements c also has two elements and so b cross c as four elements and finally for this one we can extend this formula that is if we have one more set r and let's say this is l then the number of elements in set p cross q cross r this equals m times n times l and so we put the number of elements in a which is two number of elements in b is two number of elements in c is two and this equals two times two is four four times two is eight so a cross b cross c has eight elements you know determine a cross b cross c so first i'm going to group this as a cross b and then cross with c so first we will determine the elements or we will write this a cross b so a cross p and this equals we write this at a which is 5 .8 and then this has to be crossed with b which is p comma q and to write a cross b we take each element in set a and pair it with each element in set b so first if we take the five this has to be paired with p so this will be 5 comma p we said this as one order out of pair and then 5 has to be paired with the next element in b, which is q.

02:32 So it will be 5 comma q...

Question

A = 32 B = 20 Find the cardinality of the following. P(A) X B. And P(A X B)

Question

A = 32 B = 20 Find the cardinality of the following. P(A) X B. And P(A X B)

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