Question

Integer Answer Type Questions
1. Let x = (1, 2, 3.....10) and P = {1, 2, 3, 4, 5). The number of subsets Q of X such that P (delta )Q = (3) is​
I want solution

Answer 1

Answer:

1

Step-by-step explanation:

P∆Q={3}

P-Q ∪ Q -P ={3}

This implies that either P-Q={3} or Q-P{3}

Since P will always have element 3 in it, so  Q-P ≠ {3}

Therefore,

P-Q={3}

-Q={3}-P                                                    (TRANSFERRING P TO R.H.S)

Q=P-{3}                                                 (REMOVING MINUS SIGN FROM Q)

Q={1,2,3,4,5}-{3}

Q={1,2,4,5}

Therefore only 1 Subset (Q) of X can fulfil this condition which is {1,2,4,5}