Question

A softball coach needs to choose 9 players to be in the batting lineup for the next game. There are 5 freshmen, 6 sophomores, 4 juniors, and 5 seniors on the team. Step 1 of 2: How many ways can the batting order be chosen if the coach wants no more than 2 juniors to be in the lineup? Express your answer in scientific notation rounding to the hundredths place.

Answer 1

* given that Freshmens sophomores76 Juniors +4 Seniors 75 Total = 5+6+4+5 => 20. Tercare 4 Juniors in total 20, so there are 16 non Juniors given that no more than 2 juniors in the line After selecting all a players, we arrange them in 9. ways >> 362880 no-of ways to sdect a players with 2 Juniors 3) 16C7 x 462 > 68640 no of ways to select a players with Junior - 1668 x 4G 351480 no-of ways to select a player with no Junior a 1660 > 11440

so total no of ways the batting order Babebe with no more than z Juniors is 9!(68640+ 51480+ 114407=> 4.7740X100 => 4.7740x1010