Question

Value of (20c19)*(10c10) is

Answer 1

Answer:

20

Step-by-step explanation:

$n c r = \frac{n!}{r!(n-r)!} \\20 c 19 = \frac{20!}{19!(20-19)!} \\=> \frac{20!} {19! * 1!}\\=> \frac{20*19*18*...*1}{19*18*17*...*1}\\=> 20\\ 10c10\\ => \frac{n!}{r!(n-r)!} ,\\=> \frac{10!}{10!(10-10)!}\\=> \frac{10!}{10!*0!}\\Since 0! = 1\\=>\frac{10!}{10!}\\=> 1\\20c19 * 10c10\\=> 20 * 1\\=> 20$

Ans = 20

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Manan