Question

Chris is practicing basketball How many ways can he make exactly 3 baskets in 6 tries?

Answer 1

☄Answer : -

nCr = n! ÷ (n - r)!r!

6C3 = 6! ÷ (6 - 3)!3!

6C3 = 6! ÷ 3!3!

6C3 = 6•5•4•3! ÷ 3!3!

6C3 = 6•5•4 ÷ 3!

6C3 = 5•4

6C3 = 20✔

Answer 2

• n=6
• r=3
• Here a word exactly given so we apply combination

`\\ \sf\longmapsto {}^nC_r=(n!)/(r!(n-r)!)`

`\\ \sf\longmapsto {}^6C_3`

`\\ \sf\longmapsto (6!)/(3!(6-3)!)`

`\\ \sf\longmapsto (6* 5* 4* 3!)/(3!3!)`

`\\ \sf\longmapsto (120)/(3!)`

`\\ \sf\longmapsto (120)/(6)`

`\\ \sf\longmapsto 30`