0 reads0 ratings0 helpful
If (A={1,2,3,4}) and (B={a,b,c}), how many onto functions are there from (A) to (B)?यदि (A={1,2,3,4}) और (B={a,b,c}), तो (A) से (B) में आच्छादी फलनों की संख्या कितनी होगी?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (36)(36)
Step 1: Total functions are (3^4=81). Step 2: Remove functions that miss at least one element: (3\cdot2^4-3\cdot1^4=48-3=45). Step 3: Onto functions are (81-45=36).चरण 1: कुल फलन (3^4=81) हैं। चरण 2: जो फलन कम से कम एक तत्व को छोड़ देते हैं, उन्हें हटाएँ: (3\cdot2^4-3\cdot1^4=48-3=45)। चरण 3: आच्छादी फलन (81-45=36) होंगे।
Student feedback
Was this question useful?
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Difficulty
Easy0%
Medium0%
Hard0%
Was the explanation clear?
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
