Find the negation of the statement:
If he is successful then he will joh either M.B.A. or C.A.

Answer

To find the negation of the statement "If he is successful, then he will join either M.B.A. or C.A.", we can follow these steps:

### Step 1: Identify the components of the statement
The statement can be broken down into two parts:
- Let \( P \) be "He is successful."
- Let \( Q \) be "He will join either M.B.A. or C.A."

### Step 2: Express the statement in logical form
The original statement can be expressed in logical terms as:
\[ P \implies Q \]
This means "If \( P \) is true, then \( Q \) is also true."

### Step 3: Write the negation of the implication
The negation of the implication \( P \implies Q \) can be expressed using the logical equivalence:
\[ \neg(P \implies Q) \equiv P \land \neg Q \]
This means that the negation of "If \( P \) then \( Q \)" is equivalent to saying " \( P \) is true and \( Q \) is false."

### Step 4: Determine the negation of \( Q \)
Since \( Q \) is "He will join either M.B.A. or C.A.", the negation \( \neg Q \) would be:
"He will not join either M.B.A. or C.A."

### Step 5: Combine the results
Now, we combine our findings:
- \( P \) is "He is successful."
- \( \neg Q \) is "He will not join either M.B.A. or C.A."

Thus, the negation of the original statement is:
"He is successful and he will not join either M.B.A. or C.A."

### Final Answer
The negation of the statement "If he is successful, then he will join either M.B.A. or C.A." is:
"He is successful and he will not join either M.B.A. or C.A."

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