Algebra
Permutations & Combinations
MMTS_Full_Test_02
Grade 12
Question:
The number of 5-letter words that can be formed from letters of CONSIDER using each letter at most once and beginning with C and ending with R is
$^7P_3$
$^7C_3\times 3!$
$^8P_3$
$^8C_3$
Step-by-Step Solution
Key Concept: C fixed at start, R fixed at end; choose and arrange 3 from remaining 7 letters
$^7P_3=210$.
Correct Answer: 1