Question

If n (A × B) = 45, then n (A) cannot be
(a) 15 (b) 17 (c) 5 (d) 9

Answer 1

Answer:

n (A × B) = 45

n (A) cannot be

(b)17

STEP BY STEP

45/15=3

45/17=2.64

45/5=9

45/9=5

As 45/17 is in decimal n(A) cannot be 17

MARK AS BRAINLIEST

Answer 2

The value of n(A) cannot be 17

Given :

n(A × B) = 45

To find :

The value of n(A) cannot be

(a) 15

(b) 17

(c) 5

(d) 9

Solution :

Step 1 of 2 :

Write down the given data

Here it is given that n(A × B) = 45

Step 2 of 2 :

Choose the correct option

n(A × B) = 45

⇒ n(A) × n(B) = 45

∴ n(A) must divide 45

Check for option (a)

Since n(A) must divide 45

Now 15 divide 45

∴ The value of n(A) can be 15

So option (a) 15 is not correct

Check for option (b)

Since n(A) must divide 45

Now 17 can not divide 45

∴ The value of n(A) can not be 17

So option (b) 17 is correct

Check for option (c)

Since n(A) must divide 45

Now 5 divide 45

∴ The value of n(A) can be 5

So option (c) 5 is not correct

Check for option (d)

Since n(A) must divide 45

Now 9 divide 45

∴ The value of n(A) can be 9

So option (d) 9 is not correct

Final Answer : The correct option is (b) 17

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ If P and Q are two sets such that n(P) = 12, n(Q - P) = 7, then which among the following is the value of n(PU Q)?

https://brainly.in/question/31763496

2. If n(A) = 300, n(A∪B) = 500, n(A∩B) = 50 and n(B′) = 350, find n(B) and n(U).

https://brainly.in/question/4193770

#SPJ3