A sports team has 4 distinct positions. Out of 10 players, how many starting teams are possible if (A) The distinct positions are taken into consideration? (B) The distinct positions are not taken into consideration? (C) The distinct positions are not taken into consideration, but either Mike or Ken (but not both) must start? (A) There are 5040 starting teams if the distinct positions are taken into consideration. (Type a whole number.) (B) There are 210 starting teams if the distinct positions are not taken into consideration. (Type a whole number.) (C) There areO starting teams if the distinct positions are not taken into consideration, but either Mike or Ken (but not both) must start. (Type a whole number.)

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.1: Counting
Problem 84E
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7.4.18

A sports team has 4 distinct positions. Out of 10 players, how many starting teams are possible if
(A) The distinct positions are taken into consideration?
(B) The distinct positions are not taken into consideration?
(c) The distinct positions are not taken into consideration, but either Mike or Ken (but not both) must start?
(A) There are 5040 starting teams if the distinct positions are taken into consideration.
(Type a whole number.)
(B) There are 210 starting teams if the distinct positions are not taken into consideration.
(Type a whole number.)
(C) There are
(Type a whole number.)
starting teams if the distinct positions are not taken into consideration, but either Mike or Ken (but not both) must start.
Transcribed Image Text:A sports team has 4 distinct positions. Out of 10 players, how many starting teams are possible if (A) The distinct positions are taken into consideration? (B) The distinct positions are not taken into consideration? (c) The distinct positions are not taken into consideration, but either Mike or Ken (but not both) must start? (A) There are 5040 starting teams if the distinct positions are taken into consideration. (Type a whole number.) (B) There are 210 starting teams if the distinct positions are not taken into consideration. (Type a whole number.) (C) There are (Type a whole number.) starting teams if the distinct positions are not taken into consideration, but either Mike or Ken (but not both) must start.
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