how many possible birth orders with respect to gender are possible in a family w
ID: 3057065 • Letter: H
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how many possible birth orders with respect to gender are possible in a family with 3 children? Quiz: Week 4 Checkpoint This Question: 1 pt 410 of 11 (8 co Answer the following question using the appropriate counting technique, which may be either arrangements with repetition, permutations, or combinatio How many possible birth orders with respect to gender are possible in a family with three children? (For example, BBG and GBG are different orders) What counting technique should be used to make this calculation A. Arrangements with repetitions because there are r selections from a group of n choices and choices can be repeated B. Permutations because the selections come from a single group of tems, no item can be selected more than once and the order of the arrange C. Combinations because the selections come from a single group of items, no item can be selected more than once D. Arrangements with repetitions because the selections come from a single group of items, and the order of the arrangemen and the order of the arrange There are possible birth orders for a family with three children (Type a whole number.)Explanation / Answer
a) Arrangement with repetitions because there are r selections from a group of n choices can be repeated.
n= Total number of children=3
Taken 3 at a time, r=3
Arrangement of an children use permutation with repetitions formula that is,
nPr= n^r = 3^3 = 27
There are 27 possible births orders for a family with three children.
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