WHAT IS THE NUMBER OF ONTO FUNCTIONS FROM A={1,2,3,4} TO B={5,6} ?
WHAT IS THE NUMBER OF ONTO FUNCTIONS FROM A={1,2,3,4} TO B={5,6} ?
12345 , 10 Years ago
Grade 12
Magical Mathematics[Interesting Approach]> WHAT IS THE NUMBER OF ONTO FUNCTIONS FROM...
5 AnswersAshok Kumar Sharma
Last Activity: 10 Years ago
If a,b,c,d, and p are different real numbers such that : (a2+b2+c2)p2-2(ab+bc+cd)p+(b2+c2+d2) 0, then show that a,b,c and d are in G.P.
AUREA
Last Activity: 10 Years ago
If no. of elements in set A and B respectively is m and n such that 1
Then the formula of calculating the no. of onto function from A to B is
∑(-1)n-r nCr rm r varies from 1 to n
for this question n=2 and m=4
putting the values
{ (-1)1 2C1 14 +(-1)0 2C2 24 }
= -1x2x1 + 1x1x16
= -2 + 16
=14
please approve if useful ; )
AUREA
Last Activity: 10 Years ago
sorry, I missed [.......such that (1then the formula of calculating ….......]
AUREA
Last Activity: 10 Years ago
it is 1≤n≤m
sathish
Last Activity: 9 Years ago
| If no. of elements in set A and B respectively is m and n such that 1 Then the formula of calculating the no. of onto function from A to B is ∑(-1) n-r n C r r m r varies from 1 to n for... |
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