Question

A catering service offers 8 appetizers, 10 main courses, and desserts. A banquet committee is to select 4 appetizers, 6 main courses, and 4 desserts. How many ways can this be done? possible ways this can be done, There are

Answer 1

a desserts. Number of ways given :- 4 catering seuvie offers to main cowuses and s appetizens, 16 find : - Number of way, by which a banquet committee can select " appetizeus, 's main courses and a dessents. since the ouden of selection of appetireus, main courses and Lesents is irrelevant, the selection is a combination. by which the selection of appetizens, 5 main couseses and 4 dlessents can be made is : * 1005x "CH - 49 10.97 | C-5)]*!(44)! 5! (10-5) 4!(9-4)! 8! 10! n! 4141 515! 415! 8x7x6x5*4! Loxqx8x7x6x5! 9x8x7X6x5! 41 4! 5! 57 4!5! 8x7x6x5 2 16x9x8x7x6 x 9x8x7x6 4x Exqxd BX Y XIX IXL 4x zxXx L och * {cu 4 in-4)! x 2 3 2 Х

- 2x7x5x3x2x4x6 x 9x2x7 - 70x 252 X 126 2222640 5 main courses and 4 dessents be selected in coun 4 oppetizens, ways. 2222640